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Finding the Fourth Proportional to 3,672.14, 5,068.05 and 2,256.71

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Solution

The fourth proportional to 3,672.14, 5,068.05 and 2,256.71 is: 3,114.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.14 : 5,068.05 = 2,256.71 : x
  2. Step 2: Convert to fraction form
    3,672.14/5,068.05 = 2,256.71/x
  3. Step 3: Cross multiply
    3,672.14x = 5,068.05 × 2,256.71
  4. Step 4: Simplify right side
    3,672.14x = 11,437,119.12
  5. Step 5: Solve for x
    x = 11,437,119.12/3,672.14
  6. Step 6: Final answer
    x = 3,114.57

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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.