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Finding the Fourth Proportional to 3,102.64, 4,285.14 and 3,061.78

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Solution

The fourth proportional to 3,102.64, 4,285.14 and 3,061.78 is: 4,228.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.64 : 4,285.14 = 3,061.78 : x
  2. Step 2: Convert to fraction form
    3,102.64/4,285.14 = 3,061.78/x
  3. Step 3: Cross multiply
    3,102.64x = 4,285.14 × 3,061.78
  4. Step 4: Simplify right side
    3,102.64x = 13,120,155.95
  5. Step 5: Solve for x
    x = 13,120,155.95/3,102.64
  6. Step 6: Final answer
    x = 4,228.71

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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.