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Finding the Fourth Proportional to 3,774.71, 5,659.44 and 1,434.87

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Solution

The fourth proportional to 3,774.71, 5,659.44 and 1,434.87 is: 2,151.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.71 : 5,659.44 = 1,434.87 : x
  2. Step 2: Convert to fraction form
    3,774.71/5,659.44 = 1,434.87/x
  3. Step 3: Cross multiply
    3,774.71x = 5,659.44 × 1,434.87
  4. Step 4: Simplify right side
    3,774.71x = 8,120,560.67
  5. Step 5: Solve for x
    x = 8,120,560.67/3,774.71
  6. Step 6: Final answer
    x = 2,151.31

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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.