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Finding the Fourth Proportional to 5,371.38, 7,411.70 and 3,013.07

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Solution

The fourth proportional to 5,371.38, 7,411.70 and 3,013.07 is: 4,157.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,371.38 : 7,411.70 = 3,013.07 : x
  2. Step 2: Convert to fraction form
    5,371.38/7,411.70 = 3,013.07/x
  3. Step 3: Cross multiply
    5,371.38x = 7,411.70 × 3,013.07
  4. Step 4: Simplify right side
    5,371.38x = 22,331,941.39
  5. Step 5: Solve for x
    x = 22,331,941.39/5,371.38
  6. Step 6: Final answer
    x = 4,157.58

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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.