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Finding the Fourth Proportional to 3,861.68, 5,793.06 and 1,553

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Solution

The fourth proportional to 3,861.68, 5,793.06 and 1,553 is: 2,329.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.68 : 5,793.06 = 1,553 : x
  2. Step 2: Convert to fraction form
    3,861.68/5,793.06 = 1,553/x
  3. Step 3: Cross multiply
    3,861.68x = 5,793.06 × 1,553
  4. Step 4: Simplify right side
    3,861.68x = 8,996,622.18
  5. Step 5: Solve for x
    x = 8,996,622.18/3,861.68
  6. Step 6: Final answer
    x = 2,329.72

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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.