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Finding the Fourth Proportional to 5,510.40, 8,255.92 and 4,591.84

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Solution

The fourth proportional to 5,510.40, 8,255.92 and 4,591.84 is: 6,879.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,510.40 : 8,255.92 = 4,591.84 : x
  2. Step 2: Convert to fraction form
    5,510.40/8,255.92 = 4,591.84/x
  3. Step 3: Cross multiply
    5,510.40x = 8,255.92 × 4,591.84
  4. Step 4: Simplify right side
    5,510.40x = 37,909,863.69
  5. Step 5: Solve for x
    x = 37,909,863.69/5,510.40
  6. Step 6: Final answer
    x = 6,879.69

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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.