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Finding the Fourth Proportional to 4,672.38, 6,447.72 and 2,683.17

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Solution

The fourth proportional to 4,672.38, 6,447.72 and 2,683.17 is: 3,702.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.38 : 6,447.72 = 2,683.17 : x
  2. Step 2: Convert to fraction form
    4,672.38/6,447.72 = 2,683.17/x
  3. Step 3: Cross multiply
    4,672.38x = 6,447.72 × 2,683.17
  4. Step 4: Simplify right side
    4,672.38x = 17,300,328.87
  5. Step 5: Solve for x
    x = 17,300,328.87/4,672.38
  6. Step 6: Final answer
    x = 3,702.68

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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.