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Finding the Fourth Proportional to 5,023.69, 6,932.69 and 2,785.91

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Solution

The fourth proportional to 5,023.69, 6,932.69 and 2,785.91 is: 3,844.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,023.69 : 6,932.69 = 2,785.91 : x
  2. Step 2: Convert to fraction form
    5,023.69/6,932.69 = 2,785.91/x
  3. Step 3: Cross multiply
    5,023.69x = 6,932.69 × 2,785.91
  4. Step 4: Simplify right side
    5,023.69x = 19,313,851.25
  5. Step 5: Solve for x
    x = 19,313,851.25/5,023.69
  6. Step 6: Final answer
    x = 3,844.56

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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.