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Finding the Fourth Proportional to 3,437.16, 5,154.78 and 1,097.16

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Solution

The fourth proportional to 3,437.16, 5,154.78 and 1,097.16 is: 1,645.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.16 : 5,154.78 = 1,097.16 : x
  2. Step 2: Convert to fraction form
    3,437.16/5,154.78 = 1,097.16/x
  3. Step 3: Cross multiply
    3,437.16x = 5,154.78 × 1,097.16
  4. Step 4: Simplify right side
    3,437.16x = 5,655,618.42
  5. Step 5: Solve for x
    x = 5,655,618.42/3,437.16
  6. Step 6: Final answer
    x = 1,645.43

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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.