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Finding the Fourth Proportional to 5,709.76, 8,559.98 and 2,544.88

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Solution

The fourth proportional to 5,709.76, 8,559.98 and 2,544.88 is: 3,815.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.76 : 8,559.98 = 2,544.88 : x
  2. Step 2: Convert to fraction form
    5,709.76/8,559.98 = 2,544.88/x
  3. Step 3: Cross multiply
    5,709.76x = 8,559.98 × 2,544.88
  4. Step 4: Simplify right side
    5,709.76x = 21,784,121.90
  5. Step 5: Solve for x
    x = 21,784,121.90/5,709.76
  6. Step 6: Final answer
    x = 3,815.24

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Why These Related Problems?

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