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Finding the Fourth Proportional to 6,182.28, 8,527.71 and 4,057.95

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Solution

The fourth proportional to 6,182.28, 8,527.71 and 4,057.95 is: 5,597.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.28 : 8,527.71 = 4,057.95 : x
  2. Step 2: Convert to fraction form
    6,182.28/8,527.71 = 4,057.95/x
  3. Step 3: Cross multiply
    6,182.28x = 8,527.71 × 4,057.95
  4. Step 4: Simplify right side
    6,182.28x = 34,605,020.79
  5. Step 5: Solve for x
    x = 34,605,020.79/6,182.28
  6. Step 6: Final answer
    x = 5,597.45

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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.