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Finding the Fourth Proportional to 4,694.71, 7,045.50 and 2,229.52

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Solution

The fourth proportional to 4,694.71, 7,045.50 and 2,229.52 is: 3,345.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.71 : 7,045.50 = 2,229.52 : x
  2. Step 2: Convert to fraction form
    4,694.71/7,045.50 = 2,229.52/x
  3. Step 3: Cross multiply
    4,694.71x = 7,045.50 × 2,229.52
  4. Step 4: Simplify right side
    4,694.71x = 15,708,083.16
  5. Step 5: Solve for x
    x = 15,708,083.16/4,694.71
  6. Step 6: Final answer
    x = 3,345.91

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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.