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Finding the Fourth Proportional to 3,752.26, 5,177.72 and 2,073.60

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Solution

The fourth proportional to 3,752.26, 5,177.72 and 2,073.60 is: 2,861.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.26 : 5,177.72 = 2,073.60 : x
  2. Step 2: Convert to fraction form
    3,752.26/5,177.72 = 2,073.60/x
  3. Step 3: Cross multiply
    3,752.26x = 5,177.72 × 2,073.60
  4. Step 4: Simplify right side
    3,752.26x = 10,736,525.38
  5. Step 5: Solve for x
    x = 10,736,525.38/3,752.26
  6. Step 6: Final answer
    x = 2,861.35

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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.