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Finding the Fourth Proportional to 3,076.46, 4,608.15 and 2,856.14

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Solution

The fourth proportional to 3,076.46, 4,608.15 and 2,856.14 is: 4,278.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.46 : 4,608.15 = 2,856.14 : x
  2. Step 2: Convert to fraction form
    3,076.46/4,608.15 = 2,856.14/x
  3. Step 3: Cross multiply
    3,076.46x = 4,608.15 × 2,856.14
  4. Step 4: Simplify right side
    3,076.46x = 13,161,521.54
  5. Step 5: Solve for x
    x = 13,161,521.54/3,076.46
  6. Step 6: Final answer
    x = 4,278.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.