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Finding the Fourth Proportional to 5,374.97, 7,418.42 and 3,017.87

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Solution

The fourth proportional to 5,374.97, 7,418.42 and 3,017.87 is: 4,165.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,374.97 : 7,418.42 = 3,017.87 : x
  2. Step 2: Convert to fraction form
    5,374.97/7,418.42 = 3,017.87/x
  3. Step 3: Cross multiply
    5,374.97x = 7,418.42 × 3,017.87
  4. Step 4: Simplify right side
    5,374.97x = 22,387,827.17
  5. Step 5: Solve for x
    x = 22,387,827.17/5,374.97
  6. Step 6: Final answer
    x = 4,165.20

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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.