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Finding the Fourth Proportional to 5,922.64, 8,883.15 and 1,763.29

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Solution

The fourth proportional to 5,922.64, 8,883.15 and 1,763.29 is: 2,644.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,922.64 : 8,883.15 = 1,763.29 : x
  2. Step 2: Convert to fraction form
    5,922.64/8,883.15 = 1,763.29/x
  3. Step 3: Cross multiply
    5,922.64x = 8,883.15 × 1,763.29
  4. Step 4: Simplify right side
    5,922.64x = 15,663,569.56
  5. Step 5: Solve for x
    x = 15,663,569.56/5,922.64
  6. Step 6: Final answer
    x = 2,644.69

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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.