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Finding the Fourth Proportional to 5,929.52, 8,177.78 and 4,441

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Solution

The fourth proportional to 5,929.52, 8,177.78 and 4,441 is: 6,124.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,929.52 : 8,177.78 = 4,441 : x
  2. Step 2: Convert to fraction form
    5,929.52/8,177.78 = 4,441/x
  3. Step 3: Cross multiply
    5,929.52x = 8,177.78 × 4,441
  4. Step 4: Simplify right side
    5,929.52x = 36,317,520.98
  5. Step 5: Solve for x
    x = 36,317,520.98/5,929.52
  6. Step 6: Final answer
    x = 6,124.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.