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Finding the Fourth Proportional to 3,728.62, 5,150.55 and 2,547.64

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Solution

The fourth proportional to 3,728.62, 5,150.55 and 2,547.64 is: 3,519.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.62 : 5,150.55 = 2,547.64 : x
  2. Step 2: Convert to fraction form
    3,728.62/5,150.55 = 2,547.64/x
  3. Step 3: Cross multiply
    3,728.62x = 5,150.55 × 2,547.64
  4. Step 4: Simplify right side
    3,728.62x = 13,121,747.20
  5. Step 5: Solve for x
    x = 13,121,747.20/3,728.62
  6. Step 6: Final answer
    x = 3,519.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.