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Finding the Fourth Proportional to 5,023.87, 6,932.49 and 2,785.84

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Solution

The fourth proportional to 5,023.87, 6,932.49 and 2,785.84 is: 3,844.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,023.87 : 6,932.49 = 2,785.84 : x
  2. Step 2: Convert to fraction form
    5,023.87/6,932.49 = 2,785.84/x
  3. Step 3: Cross multiply
    5,023.87x = 6,932.49 × 2,785.84
  4. Step 4: Simplify right side
    5,023.87x = 19,312,819.16
  5. Step 5: Solve for x
    x = 19,312,819.16/5,023.87
  6. Step 6: Final answer
    x = 3,844.21

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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.