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Finding the Fourth Proportional to 5,644.96, 8,470.33 and 2,686.75

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Solution

The fourth proportional to 5,644.96, 8,470.33 and 2,686.75 is: 4,031.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.96 : 8,470.33 = 2,686.75 : x
  2. Step 2: Convert to fraction form
    5,644.96/8,470.33 = 2,686.75/x
  3. Step 3: Cross multiply
    5,644.96x = 8,470.33 × 2,686.75
  4. Step 4: Simplify right side
    5,644.96x = 22,757,631.23
  5. Step 5: Solve for x
    x = 22,757,631.23/5,644.96
  6. Step 6: Final answer
    x = 4,031.50

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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.