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Finding the Fourth Proportional to 3,437.97, 5,158.02 and 1,246.71

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Solution

The fourth proportional to 3,437.97, 5,158.02 and 1,246.71 is: 1,870.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.97 : 5,158.02 = 1,246.71 : x
  2. Step 2: Convert to fraction form
    3,437.97/5,158.02 = 1,246.71/x
  3. Step 3: Cross multiply
    3,437.97x = 5,158.02 × 1,246.71
  4. Step 4: Simplify right side
    3,437.97x = 6,430,555.11
  5. Step 5: Solve for x
    x = 6,430,555.11/3,437.97
  6. Step 6: Final answer
    x = 1,870.45

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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.