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Finding the Fourth Proportional to 6,530.66, 9,789.28 and 2,580.31

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Solution

The fourth proportional to 6,530.66, 9,789.28 and 2,580.31 is: 3,867.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.66 : 9,789.28 = 2,580.31 : x
  2. Step 2: Convert to fraction form
    6,530.66/9,789.28 = 2,580.31/x
  3. Step 3: Cross multiply
    6,530.66x = 9,789.28 × 2,580.31
  4. Step 4: Simplify right side
    6,530.66x = 25,259,382.86
  5. Step 5: Solve for x
    x = 25,259,382.86/6,530.66
  6. Step 6: Final answer
    x = 3,867.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.