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Finding the Fourth Proportional to 3,766.32, 5,130.36 and 3,693.60

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Solution

The fourth proportional to 3,766.32, 5,130.36 and 3,693.60 is: 5,031.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.32 : 5,130.36 = 3,693.60 : x
  2. Step 2: Convert to fraction form
    3,766.32/5,130.36 = 3,693.60/x
  3. Step 3: Cross multiply
    3,766.32x = 5,130.36 × 3,693.60
  4. Step 4: Simplify right side
    3,766.32x = 18,949,497.70
  5. Step 5: Solve for x
    x = 18,949,497.70/3,766.32
  6. Step 6: Final answer
    x = 5,031.30

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.