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Finding the Fourth Proportional to 5,843,677.82, 8,765,516.81 and 1,583,846.06

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Solution

The fourth proportional to 5,843,677.82, 8,765,516.81 and 1,583,846.06 is: 2,375,769.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843,677.82 : 8,765,516.81 = 1,583,846.06 : x
  2. Step 2: Convert to fraction form
    5,843,677.82/8,765,516.81 = 1,583,846.06/x
  3. Step 3: Cross multiply
    5,843,677.82x = 8,765,516.81 × 1,583,846.06
  4. Step 4: Simplify right side
    5,843,677.82x = 13,883,229,214,604.85
  5. Step 5: Solve for x
    x = 13,883,229,214,604.85/5,843,677.82
  6. Step 6: Final answer
    x = 2,375,769.10

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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.