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Finding the Fourth Proportional to 6,034.75, 8,322.37 and 4,142.99

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Solution

The fourth proportional to 6,034.75, 8,322.37 and 4,142.99 is: 5,713.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,034.75 : 8,322.37 = 4,142.99 : x
  2. Step 2: Convert to fraction form
    6,034.75/8,322.37 = 4,142.99/x
  3. Step 3: Cross multiply
    6,034.75x = 8,322.37 × 4,142.99
  4. Step 4: Simplify right side
    6,034.75x = 34,479,506.13
  5. Step 5: Solve for x
    x = 34,479,506.13/6,034.75
  6. Step 6: Final answer
    x = 5,713.50

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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.