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Finding the Fourth Proportional to 5,843,678.82, 8,765,518.31 and 1,583,847.06

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Solution

The fourth proportional to 5,843,678.82, 8,765,518.31 and 1,583,847.06 is: 2,375,770.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843,678.82 : 8,765,518.31 = 1,583,847.06 : x
  2. Step 2: Convert to fraction form
    5,843,678.82/8,765,518.31 = 1,583,847.06/x
  3. Step 3: Cross multiply
    5,843,678.82x = 8,765,518.31 × 1,583,847.06
  4. Step 4: Simplify right side
    5,843,678.82x = 13,883,240,404,669.67
  5. Step 5: Solve for x
    x = 13,883,240,404,669.67/5,843,678.82
  6. Step 6: Final answer
    x = 2,375,770.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.