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Finding the Fourth Proportional to 5,763.64, 8,644.56 and 2,065.78

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Solution

The fourth proportional to 5,763.64, 8,644.56 and 2,065.78 is: 3,098.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.64 : 8,644.56 = 2,065.78 : x
  2. Step 2: Convert to fraction form
    5,763.64/8,644.56 = 2,065.78/x
  3. Step 3: Cross multiply
    5,763.64x = 8,644.56 × 2,065.78
  4. Step 4: Simplify right side
    5,763.64x = 17,857,759.16
  5. Step 5: Solve for x
    x = 17,857,759.16/5,763.64
  6. Step 6: Final answer
    x = 3,098.35

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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.