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Finding the Fourth Proportional to 4,497.57, 6,206.51 and 2,508.47

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Solution

The fourth proportional to 4,497.57, 6,206.51 and 2,508.47 is: 3,461.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497.57 : 6,206.51 = 2,508.47 : x
  2. Step 2: Convert to fraction form
    4,497.57/6,206.51 = 2,508.47/x
  3. Step 3: Cross multiply
    4,497.57x = 6,206.51 × 2,508.47
  4. Step 4: Simplify right side
    4,497.57x = 15,568,819.38
  5. Step 5: Solve for x
    x = 15,568,819.38/4,497.57
  6. Step 6: Final answer
    x = 3,461.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.