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Finding the Fourth Proportional to 3,851.74, 5,314.17 and 2,279.53

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Solution

The fourth proportional to 3,851.74, 5,314.17 and 2,279.53 is: 3,145.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.74 : 5,314.17 = 2,279.53 : x
  2. Step 2: Convert to fraction form
    3,851.74/5,314.17 = 2,279.53/x
  3. Step 3: Cross multiply
    3,851.74x = 5,314.17 × 2,279.53
  4. Step 4: Simplify right side
    3,851.74x = 12,113,809.94
  5. Step 5: Solve for x
    x = 12,113,809.94/3,851.74
  6. Step 6: Final answer
    x = 3,145.02

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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.