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Finding the Fourth Proportional to 5,023.71, 6,932.80 and 2,785.68

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Solution

The fourth proportional to 5,023.71, 6,932.80 and 2,785.68 is: 3,844.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,023.71 : 6,932.80 = 2,785.68 : x
  2. Step 2: Convert to fraction form
    5,023.71/6,932.80 = 2,785.68/x
  3. Step 3: Cross multiply
    5,023.71x = 6,932.80 × 2,785.68
  4. Step 4: Simplify right side
    5,023.71x = 19,312,557.12
  5. Step 5: Solve for x
    x = 19,312,557.12/5,023.71
  6. Step 6: Final answer
    x = 3,844.28

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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.