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Finding the Fourth Proportional to 3,437.56, 5,156.62 and 1,097.88

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Solution

The fourth proportional to 3,437.56, 5,156.62 and 1,097.88 is: 1,646.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.56 : 5,156.62 = 1,097.88 : x
  2. Step 2: Convert to fraction form
    3,437.56/5,156.62 = 1,097.88/x
  3. Step 3: Cross multiply
    3,437.56x = 5,156.62 × 1,097.88
  4. Step 4: Simplify right side
    3,437.56x = 5,661,349.97
  5. Step 5: Solve for x
    x = 5,661,349.97/3,437.56
  6. Step 6: Final answer
    x = 1,646.91

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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.