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Finding the Fourth Proportional to 3,453.76, 4,767.63 and 2,614.70

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Solution

The fourth proportional to 3,453.76, 4,767.63 and 2,614.70 is: 3,609.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.76 : 4,767.63 = 2,614.70 : x
  2. Step 2: Convert to fraction form
    3,453.76/4,767.63 = 2,614.70/x
  3. Step 3: Cross multiply
    3,453.76x = 4,767.63 × 2,614.70
  4. Step 4: Simplify right side
    3,453.76x = 12,465,924.27
  5. Step 5: Solve for x
    x = 12,465,924.27/3,453.76
  6. Step 6: Final answer
    x = 3,609.38

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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.