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Finding the Fourth Proportional to 4,154.95, 5,732.01 and 2,736.82

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Solution

The fourth proportional to 4,154.95, 5,732.01 and 2,736.82 is: 3,775.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,154.95 : 5,732.01 = 2,736.82 : x
  2. Step 2: Convert to fraction form
    4,154.95/5,732.01 = 2,736.82/x
  3. Step 3: Cross multiply
    4,154.95x = 5,732.01 × 2,736.82
  4. Step 4: Simplify right side
    4,154.95x = 15,687,479.61
  5. Step 5: Solve for x
    x = 15,687,479.61/4,154.95
  6. Step 6: Final answer
    x = 3,775.61

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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.