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Finding the Fourth Proportional to 3,652.68, 5,479.10 and 1,187.49

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Solution

The fourth proportional to 3,652.68, 5,479.10 and 1,187.49 is: 1,781.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.68 : 5,479.10 = 1,187.49 : x
  2. Step 2: Convert to fraction form
    3,652.68/5,479.10 = 1,187.49/x
  3. Step 3: Cross multiply
    3,652.68x = 5,479.10 × 1,187.49
  4. Step 4: Simplify right side
    3,652.68x = 6,506,376.46
  5. Step 5: Solve for x
    x = 6,506,376.46/3,652.68
  6. Step 6: Final answer
    x = 1,781.26

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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.