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Finding the Fourth Proportional to 3,614.59, 5,423.10 and 1,149.76

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Solution

The fourth proportional to 3,614.59, 5,423.10 and 1,149.76 is: 1,725.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.59 : 5,423.10 = 1,149.76 : x
  2. Step 2: Convert to fraction form
    3,614.59/5,423.10 = 1,149.76/x
  3. Step 3: Cross multiply
    3,614.59x = 5,423.10 × 1,149.76
  4. Step 4: Simplify right side
    3,614.59x = 6,235,263.46
  5. Step 5: Solve for x
    x = 6,235,263.46/3,614.59
  6. Step 6: Final answer
    x = 1,725.03

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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.