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Finding the Fourth Proportional to 5,938.80, 8,901.72 and 2,472

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Solution

The fourth proportional to 5,938.80, 8,901.72 and 2,472 is: 3,705.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,938.80 : 8,901.72 = 2,472 : x
  2. Step 2: Convert to fraction form
    5,938.80/8,901.72 = 2,472/x
  3. Step 3: Cross multiply
    5,938.80x = 8,901.72 × 2,472
  4. Step 4: Simplify right side
    5,938.80x = 22,005,051.84
  5. Step 5: Solve for x
    x = 22,005,051.84/5,938.80
  6. Step 6: Final answer
    x = 3,705.30

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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.