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Finding the Fourth Proportional to 5,836.22, 8,040.30 and 4,064.66

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Solution

The fourth proportional to 5,836.22, 8,040.30 and 4,064.66 is: 5,599.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.22 : 8,040.30 = 4,064.66 : x
  2. Step 2: Convert to fraction form
    5,836.22/8,040.30 = 4,064.66/x
  3. Step 3: Cross multiply
    5,836.22x = 8,040.30 × 4,064.66
  4. Step 4: Simplify right side
    5,836.22x = 32,681,085.80
  5. Step 5: Solve for x
    x = 32,681,085.80/5,836.22
  6. Step 6: Final answer
    x = 5,599.70

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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.