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Finding the Fourth Proportional to 3,061.53, 4,225.10 and 2,314.31

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Solution

The fourth proportional to 3,061.53, 4,225.10 and 2,314.31 is: 3,193.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.53 : 4,225.10 = 2,314.31 : x
  2. Step 2: Convert to fraction form
    3,061.53/4,225.10 = 2,314.31/x
  3. Step 3: Cross multiply
    3,061.53x = 4,225.10 × 2,314.31
  4. Step 4: Simplify right side
    3,061.53x = 9,778,158.48
  5. Step 5: Solve for x
    x = 9,778,158.48/3,061.53
  6. Step 6: Final answer
    x = 3,193.88

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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.