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Finding the Fourth Proportional to 4,141.84, 5,715.66 and 2,278.84

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Solution

The fourth proportional to 4,141.84, 5,715.66 and 2,278.84 is: 3,144.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.84 : 5,715.66 = 2,278.84 : x
  2. Step 2: Convert to fraction form
    4,141.84/5,715.66 = 2,278.84/x
  3. Step 3: Cross multiply
    4,141.84x = 5,715.66 × 2,278.84
  4. Step 4: Simplify right side
    4,141.84x = 13,025,074.63
  5. Step 5: Solve for x
    x = 13,025,074.63/4,141.84
  6. Step 6: Final answer
    x = 3,144.76

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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.