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Finding the Fourth Proportional to 4,578.72, 6,869.24 and 2,498.16

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Solution

The fourth proportional to 4,578.72, 6,869.24 and 2,498.16 is: 3,747.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,578.72 : 6,869.24 = 2,498.16 : x
  2. Step 2: Convert to fraction form
    4,578.72/6,869.24 = 2,498.16/x
  3. Step 3: Cross multiply
    4,578.72x = 6,869.24 × 2,498.16
  4. Step 4: Simplify right side
    4,578.72x = 17,160,460.60
  5. Step 5: Solve for x
    x = 17,160,460.60/4,578.72
  6. Step 6: Final answer
    x = 3,747.87

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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.