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Finding the Fourth Proportional to 3,652.62, 5,479.71 and 1,187.38

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Solution

The fourth proportional to 3,652.62, 5,479.71 and 1,187.38 is: 1,781.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.62 : 5,479.71 = 1,187.38 : x
  2. Step 2: Convert to fraction form
    3,652.62/5,479.71 = 1,187.38/x
  3. Step 3: Cross multiply
    3,652.62x = 5,479.71 × 1,187.38
  4. Step 4: Simplify right side
    3,652.62x = 6,506,498.06
  5. Step 5: Solve for x
    x = 6,506,498.06/3,652.62
  6. Step 6: Final answer
    x = 1,781.32

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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.