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Finding the Fourth Proportional to 4,141.69, 5,715.54 and 2,278.69

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Solution

The fourth proportional to 4,141.69, 5,715.54 and 2,278.69 is: 3,144.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.69 : 5,715.54 = 2,278.69 : x
  2. Step 2: Convert to fraction form
    4,141.69/5,715.54 = 2,278.69/x
  3. Step 3: Cross multiply
    4,141.69x = 5,715.54 × 2,278.69
  4. Step 4: Simplify right side
    4,141.69x = 13,023,943.84
  5. Step 5: Solve for x
    x = 13,023,943.84/4,141.69
  6. Step 6: Final answer
    x = 3,144.60

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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.