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Finding the Fourth Proportional to 5,839.29, 8,058.29 and 3,186.74

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Solution

The fourth proportional to 5,839.29, 8,058.29 and 3,186.74 is: 4,397.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,839.29 : 8,058.29 = 3,186.74 : x
  2. Step 2: Convert to fraction form
    5,839.29/8,058.29 = 3,186.74/x
  3. Step 3: Cross multiply
    5,839.29x = 8,058.29 × 3,186.74
  4. Step 4: Simplify right side
    5,839.29x = 25,679,679.29
  5. Step 5: Solve for x
    x = 25,679,679.29/5,839.29
  6. Step 6: Final answer
    x = 4,397.74

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1.5x scale

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.