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Finding the Fourth Proportional to 5,932.34, 8,177.20 and 4,671.39

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Solution

The fourth proportional to 5,932.34, 8,177.20 and 4,671.39 is: 6,439.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,932.34 : 8,177.20 = 4,671.39 : x
  2. Step 2: Convert to fraction form
    5,932.34/8,177.20 = 4,671.39/x
  3. Step 3: Cross multiply
    5,932.34x = 8,177.20 × 4,671.39
  4. Step 4: Simplify right side
    5,932.34x = 38,198,878.63
  5. Step 5: Solve for x
    x = 38,198,878.63/5,932.34
  6. Step 6: Final answer
    x = 6,439.10

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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.