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Finding the Fourth Proportional to 5,843,684.47, 8,765,526.77 and 1,583,852.68

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Solution

The fourth proportional to 5,843,684.47, 8,765,526.77 and 1,583,852.68 is: 2,375,779.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843,684.47 : 8,765,526.77 = 1,583,852.68 : x
  2. Step 2: Convert to fraction form
    5,843,684.47/8,765,526.77 = 1,583,852.68/x
  3. Step 3: Cross multiply
    5,843,684.47x = 8,765,526.77 × 1,583,852.68
  4. Step 4: Simplify right side
    5,843,684.47x = 13,883,303,066,276.24
  5. Step 5: Solve for x
    x = 13,883,303,066,276.24/5,843,684.47
  6. Step 6: Final answer
    x = 2,375,779.04

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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.