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Finding the Fourth Proportional to 3,686.16, 5,083.56 and 2,442

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Solution

The fourth proportional to 3,686.16, 5,083.56 and 2,442 is: 3,367.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.16 : 5,083.56 = 2,442 : x
  2. Step 2: Convert to fraction form
    3,686.16/5,083.56 = 2,442/x
  3. Step 3: Cross multiply
    3,686.16x = 5,083.56 × 2,442
  4. Step 4: Simplify right side
    3,686.16x = 12,414,053.52
  5. Step 5: Solve for x
    x = 12,414,053.52/3,686.16
  6. Step 6: Final answer
    x = 3,367.75

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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.