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Finding the Fourth Proportional to 4,230.95, 5,839.31 and 2,463.53

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Solution

The fourth proportional to 4,230.95, 5,839.31 and 2,463.53 is: 3,400.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230.95 : 5,839.31 = 2,463.53 : x
  2. Step 2: Convert to fraction form
    4,230.95/5,839.31 = 2,463.53/x
  3. Step 3: Cross multiply
    4,230.95x = 5,839.31 × 2,463.53
  4. Step 4: Simplify right side
    4,230.95x = 14,385,292.33
  5. Step 5: Solve for x
    x = 14,385,292.33/4,230.95
  6. Step 6: Final answer
    x = 3,400.02

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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.