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Finding the Fourth Proportional to 3,732.94, 5,601.45 and 3,145.18

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Solution

The fourth proportional to 3,732.94, 5,601.45 and 3,145.18 is: 4,719.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,732.94 : 5,601.45 = 3,145.18 : x
  2. Step 2: Convert to fraction form
    3,732.94/5,601.45 = 3,145.18/x
  3. Step 3: Cross multiply
    3,732.94x = 5,601.45 × 3,145.18
  4. Step 4: Simplify right side
    3,732.94x = 17,617,576.80
  5. Step 5: Solve for x
    x = 17,617,576.80/3,732.94
  6. Step 6: Final answer
    x = 4,719.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.