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Finding the Fourth Proportional to 3,773.76, 5,646.06 and 2,535.27

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Solution

The fourth proportional to 3,773.76, 5,646.06 and 2,535.27 is: 3,793.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.76 : 5,646.06 = 2,535.27 : x
  2. Step 2: Convert to fraction form
    3,773.76/5,646.06 = 2,535.27/x
  3. Step 3: Cross multiply
    3,773.76x = 5,646.06 × 2,535.27
  4. Step 4: Simplify right side
    3,773.76x = 14,314,286.54
  5. Step 5: Solve for x
    x = 14,314,286.54/3,773.76
  6. Step 6: Final answer
    x = 3,793.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.