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Finding the Fourth Proportional to 5,785.83, 7,963.11 and 4,932.90

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Solution

The fourth proportional to 5,785.83, 7,963.11 and 4,932.90 is: 6,789.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785.83 : 7,963.11 = 4,932.90 : x
  2. Step 2: Convert to fraction form
    5,785.83/7,963.11 = 4,932.90/x
  3. Step 3: Cross multiply
    5,785.83x = 7,963.11 × 4,932.90
  4. Step 4: Simplify right side
    5,785.83x = 39,281,225.32
  5. Step 5: Solve for x
    x = 39,281,225.32/5,785.83
  6. Step 6: Final answer
    x = 6,789.21

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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.