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Finding the Fourth Proportional to 5,886.73, 8,829.06 and 1,726.64

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Solution

The fourth proportional to 5,886.73, 8,829.06 and 1,726.64 is: 2,589.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.73 : 8,829.06 = 1,726.64 : x
  2. Step 2: Convert to fraction form
    5,886.73/8,829.06 = 1,726.64/x
  3. Step 3: Cross multiply
    5,886.73x = 8,829.06 × 1,726.64
  4. Step 4: Simplify right side
    5,886.73x = 15,244,608.16
  5. Step 5: Solve for x
    x = 15,244,608.16/5,886.73
  6. Step 6: Final answer
    x = 2,589.66

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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.