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Finding the Fourth Proportional to 3,774.52, 5,660.02 and 1,434.96

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Solution

The fourth proportional to 3,774.52, 5,660.02 and 1,434.96 is: 2,151.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.52 : 5,660.02 = 1,434.96 : x
  2. Step 2: Convert to fraction form
    3,774.52/5,660.02 = 1,434.96/x
  3. Step 3: Cross multiply
    3,774.52x = 5,660.02 × 1,434.96
  4. Step 4: Simplify right side
    3,774.52x = 8,121,902.30
  5. Step 5: Solve for x
    x = 8,121,902.30/3,774.52
  6. Step 6: Final answer
    x = 2,151.77

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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.