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Finding the Fourth Proportional to 5,154.39, 7,731.57 and 1,867.47

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Solution

The fourth proportional to 5,154.39, 7,731.57 and 1,867.47 is: 2,801.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.39 : 7,731.57 = 1,867.47 : x
  2. Step 2: Convert to fraction form
    5,154.39/7,731.57 = 1,867.47/x
  3. Step 3: Cross multiply
    5,154.39x = 7,731.57 × 1,867.47
  4. Step 4: Simplify right side
    5,154.39x = 14,438,475.03
  5. Step 5: Solve for x
    x = 14,438,475.03/5,154.39
  6. Step 6: Final answer
    x = 2,801.20

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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.