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Finding the Fourth Proportional to 4,072.38, 5,617.05 and 2,497.74

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Solution

The fourth proportional to 4,072.38, 5,617.05 and 2,497.74 is: 3,445.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,072.38 : 5,617.05 = 2,497.74 : x
  2. Step 2: Convert to fraction form
    4,072.38/5,617.05 = 2,497.74/x
  3. Step 3: Cross multiply
    4,072.38x = 5,617.05 × 2,497.74
  4. Step 4: Simplify right side
    4,072.38x = 14,029,930.47
  5. Step 5: Solve for x
    x = 14,029,930.47/4,072.38
  6. Step 6: Final answer
    x = 3,445.14

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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.