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Finding the Fourth Proportional to 3,437.97, 5,153.73 and 1,246.17

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Solution

The fourth proportional to 3,437.97, 5,153.73 and 1,246.17 is: 1,868.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.97 : 5,153.73 = 1,246.17 : x
  2. Step 2: Convert to fraction form
    3,437.97/5,153.73 = 1,246.17/x
  3. Step 3: Cross multiply
    3,437.97x = 5,153.73 × 1,246.17
  4. Step 4: Simplify right side
    3,437.97x = 6,422,423.71
  5. Step 5: Solve for x
    x = 6,422,423.71/3,437.97
  6. Step 6: Final answer
    x = 1,868.09

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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.