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Finding the Fourth Proportional to 5,856.61, 8,079.85 and 3,731.76

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Solution

The fourth proportional to 5,856.61, 8,079.85 and 3,731.76 is: 5,148.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.61 : 8,079.85 = 3,731.76 : x
  2. Step 2: Convert to fraction form
    5,856.61/8,079.85 = 3,731.76/x
  3. Step 3: Cross multiply
    5,856.61x = 8,079.85 × 3,731.76
  4. Step 4: Simplify right side
    5,856.61x = 30,152,061.04
  5. Step 5: Solve for x
    x = 30,152,061.04/5,856.61
  6. Step 6: Final answer
    x = 5,148.38

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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.