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Finding the Fourth Proportional to 5,931.92, 8,898.30 and 1,771.88

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Solution

The fourth proportional to 5,931.92, 8,898.30 and 1,771.88 is: 2,657.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,931.92 : 8,898.30 = 1,771.88 : x
  2. Step 2: Convert to fraction form
    5,931.92/8,898.30 = 1,771.88/x
  3. Step 3: Cross multiply
    5,931.92x = 8,898.30 × 1,771.88
  4. Step 4: Simplify right side
    5,931.92x = 15,766,719.80
  5. Step 5: Solve for x
    x = 15,766,719.80/5,931.92
  6. Step 6: Final answer
    x = 2,657.95

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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.