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Finding the Fourth Proportional to 5,372.30, 7,411.82 and 4,113.56

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Solution

The fourth proportional to 5,372.30, 7,411.82 and 4,113.56 is: 5,675.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,372.30 : 7,411.82 = 4,113.56 : x
  2. Step 2: Convert to fraction form
    5,372.30/7,411.82 = 4,113.56/x
  3. Step 3: Cross multiply
    5,372.30x = 7,411.82 × 4,113.56
  4. Step 4: Simplify right side
    5,372.30x = 30,488,966.28
  5. Step 5: Solve for x
    x = 30,488,966.28/5,372.30
  6. Step 6: Final answer
    x = 5,675.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.