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Finding the Fourth Proportional to 6,505.57, 9,759.70 and 2,610.28

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Solution

The fourth proportional to 6,505.57, 9,759.70 and 2,610.28 is: 3,915.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.57 : 9,759.70 = 2,610.28 : x
  2. Step 2: Convert to fraction form
    6,505.57/9,759.70 = 2,610.28/x
  3. Step 3: Cross multiply
    6,505.57x = 9,759.70 × 2,610.28
  4. Step 4: Simplify right side
    6,505.57x = 25,475,528.58
  5. Step 5: Solve for x
    x = 25,475,528.58/6,505.57
  6. Step 6: Final answer
    x = 3,915.96

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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.