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Finding the Fourth Proportional to 5,903.92, 8,839.32 and 3,124.31

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Solution

The fourth proportional to 5,903.92, 8,839.32 and 3,124.31 is: 4,677.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,903.92 : 8,839.32 = 3,124.31 : x
  2. Step 2: Convert to fraction form
    5,903.92/8,839.32 = 3,124.31/x
  3. Step 3: Cross multiply
    5,903.92x = 8,839.32 × 3,124.31
  4. Step 4: Simplify right side
    5,903.92x = 27,616,775.87
  5. Step 5: Solve for x
    x = 27,616,775.87/5,903.92
  6. Step 6: Final answer
    x = 4,677.70

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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.