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Finding the Fourth Proportional to 5,713.33, 8,569.90 and 1,817.68

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Solution

The fourth proportional to 5,713.33, 8,569.90 and 1,817.68 is: 2,726.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.33 : 8,569.90 = 1,817.68 : x
  2. Step 2: Convert to fraction form
    5,713.33/8,569.90 = 1,817.68/x
  3. Step 3: Cross multiply
    5,713.33x = 8,569.90 × 1,817.68
  4. Step 4: Simplify right side
    5,713.33x = 15,577,335.83
  5. Step 5: Solve for x
    x = 15,577,335.83/5,713.33
  6. Step 6: Final answer
    x = 2,726.49

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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.