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Finding the Fourth Proportional to 3,672.74, 5,066.34 and 2,414

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Solution

The fourth proportional to 3,672.74, 5,066.34 and 2,414 is: 3,329.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.74 : 5,066.34 = 2,414 : x
  2. Step 2: Convert to fraction form
    3,672.74/5,066.34 = 2,414/x
  3. Step 3: Cross multiply
    3,672.74x = 5,066.34 × 2,414
  4. Step 4: Simplify right side
    3,672.74x = 12,230,144.76
  5. Step 5: Solve for x
    x = 12,230,144.76/3,672.74
  6. Step 6: Final answer
    x = 3,329.98

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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.