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Finding the Fourth Proportional to 5,232.68, 7,849.30 and 1,337.12

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Solution

The fourth proportional to 5,232.68, 7,849.30 and 1,337.12 is: 2,005.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232.68 : 7,849.30 = 1,337.12 : x
  2. Step 2: Convert to fraction form
    5,232.68/7,849.30 = 1,337.12/x
  3. Step 3: Cross multiply
    5,232.68x = 7,849.30 × 1,337.12
  4. Step 4: Simplify right side
    5,232.68x = 10,495,456.02
  5. Step 5: Solve for x
    x = 10,495,456.02/5,232.68
  6. Step 6: Final answer
    x = 2,005.75

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