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Finding the Fourth Proportional to 4,182.56, 6,274.76 and 1,585.52

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Solution

The fourth proportional to 4,182.56, 6,274.76 and 1,585.52 is: 2,378.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182.56 : 6,274.76 = 1,585.52 : x
  2. Step 2: Convert to fraction form
    4,182.56/6,274.76 = 1,585.52/x
  3. Step 3: Cross multiply
    4,182.56x = 6,274.76 × 1,585.52
  4. Step 4: Simplify right side
    4,182.56x = 9,948,757.48
  5. Step 5: Solve for x
    x = 9,948,757.48/4,182.56
  6. Step 6: Final answer
    x = 2,378.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.