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Finding the Fourth Proportional to 3,496.48, 5,247.84 and 3,125.68

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Solution

The fourth proportional to 3,496.48, 5,247.84 and 3,125.68 is: 4,691.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.48 : 5,247.84 = 3,125.68 : x
  2. Step 2: Convert to fraction form
    3,496.48/5,247.84 = 3,125.68/x
  3. Step 3: Cross multiply
    3,496.48x = 5,247.84 × 3,125.68
  4. Step 4: Simplify right side
    3,496.48x = 16,403,068.53
  5. Step 5: Solve for x
    x = 16,403,068.53/3,496.48
  6. Step 6: Final answer
    x = 4,691.31

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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.