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Finding the Fourth Proportional to 3,437.74, 5,158.95 and 1,248.22

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Solution

The fourth proportional to 3,437.74, 5,158.95 and 1,248.22 is: 1,873.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.74 : 5,158.95 = 1,248.22 : x
  2. Step 2: Convert to fraction form
    3,437.74/5,158.95 = 1,248.22/x
  3. Step 3: Cross multiply
    3,437.74x = 5,158.95 × 1,248.22
  4. Step 4: Simplify right side
    3,437.74x = 6,439,504.57
  5. Step 5: Solve for x
    x = 6,439,504.57/3,437.74
  6. Step 6: Final answer
    x = 1,873.18

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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.