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Finding the Fourth Proportional to 3,437.72, 5,154.64 and 1,097.28

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Solution

The fourth proportional to 3,437.72, 5,154.64 and 1,097.28 is: 1,645.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.72 : 5,154.64 = 1,097.28 : x
  2. Step 2: Convert to fraction form
    3,437.72/5,154.64 = 1,097.28/x
  3. Step 3: Cross multiply
    3,437.72x = 5,154.64 × 1,097.28
  4. Step 4: Simplify right side
    3,437.72x = 5,656,083.38
  5. Step 5: Solve for x
    x = 5,656,083.38/3,437.72
  6. Step 6: Final answer
    x = 1,645.30

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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.