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Finding the Fourth Proportional to 3,574.35, 4,932.52 and 2,082.56

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Solution

The fourth proportional to 3,574.35, 4,932.52 and 2,082.56 is: 2,873.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.35 : 4,932.52 = 2,082.56 : x
  2. Step 2: Convert to fraction form
    3,574.35/4,932.52 = 2,082.56/x
  3. Step 3: Cross multiply
    3,574.35x = 4,932.52 × 2,082.56
  4. Step 4: Simplify right side
    3,574.35x = 10,272,275.98
  5. Step 5: Solve for x
    x = 10,272,275.98/3,574.35
  6. Step 6: Final answer
    x = 2,873.89

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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.