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Finding the Fourth Proportional to 3,437.95, 5,157.43 and 1,246.17

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Solution

The fourth proportional to 3,437.95, 5,157.43 and 1,246.17 is: 1,869.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.95 : 5,157.43 = 1,246.17 : x
  2. Step 2: Convert to fraction form
    3,437.95/5,157.43 = 1,246.17/x
  3. Step 3: Cross multiply
    3,437.95x = 5,157.43 × 1,246.17
  4. Step 4: Simplify right side
    3,437.95x = 6,427,034.54
  5. Step 5: Solve for x
    x = 6,427,034.54/3,437.95
  6. Step 6: Final answer
    x = 1,869.44

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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.