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Finding the Fourth Proportional to 3,718.42, 5,131.23 and 2,146.42

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Solution

The fourth proportional to 3,718.42, 5,131.23 and 2,146.42 is: 2,961.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,718.42 : 5,131.23 = 2,146.42 : x
  2. Step 2: Convert to fraction form
    3,718.42/5,131.23 = 2,146.42/x
  3. Step 3: Cross multiply
    3,718.42x = 5,131.23 × 2,146.42
  4. Step 4: Simplify right side
    3,718.42x = 11,013,774.70
  5. Step 5: Solve for x
    x = 11,013,774.70/3,718.42
  6. Step 6: Final answer
    x = 2,961.95

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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.