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Finding the Fourth Proportional to 4,141.76, 5,715.72 and 2,278.76

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Solution

The fourth proportional to 4,141.76, 5,715.72 and 2,278.76 is: 3,144.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.76 : 5,715.72 = 2,278.76 : x
  2. Step 2: Convert to fraction form
    4,141.76/5,715.72 = 2,278.76/x
  3. Step 3: Cross multiply
    4,141.76x = 5,715.72 × 2,278.76
  4. Step 4: Simplify right side
    4,141.76x = 13,024,754.11
  5. Step 5: Solve for x
    x = 13,024,754.11/4,141.76
  6. Step 6: Final answer
    x = 3,144.74

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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.