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Finding the Fourth Proportional to 3,342.24, 4,614.03 and 3,121.38

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Solution

The fourth proportional to 3,342.24, 4,614.03 and 3,121.38 is: 4,309.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,342.24 : 4,614.03 = 3,121.38 : x
  2. Step 2: Convert to fraction form
    3,342.24/4,614.03 = 3,121.38/x
  3. Step 3: Cross multiply
    3,342.24x = 4,614.03 × 3,121.38
  4. Step 4: Simplify right side
    3,342.24x = 14,402,140.96
  5. Step 5: Solve for x
    x = 14,402,140.96/3,342.24
  6. Step 6: Final answer
    x = 4,309.13

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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.