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Finding the Fourth Proportional to 5,640.52, 7,764.66 and 4,644.04

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Solution

The fourth proportional to 5,640.52, 7,764.66 and 4,644.04 is: 6,392.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.52 : 7,764.66 = 4,644.04 : x
  2. Step 2: Convert to fraction form
    5,640.52/7,764.66 = 4,644.04/x
  3. Step 3: Cross multiply
    5,640.52x = 7,764.66 × 4,644.04
  4. Step 4: Simplify right side
    5,640.52x = 36,059,391.63
  5. Step 5: Solve for x
    x = 36,059,391.63/5,640.52
  6. Step 6: Final answer
    x = 6,392.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.