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Finding the Fourth Proportional to 4,231.40, 6,347.10 and 4,029.80

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Solution

The fourth proportional to 4,231.40, 6,347.10 and 4,029.80 is: 6,044.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,231.40 : 6,347.10 = 4,029.80 : x
  2. Step 2: Convert to fraction form
    4,231.40/6,347.10 = 4,029.80/x
  3. Step 3: Cross multiply
    4,231.40x = 6,347.10 × 4,029.80
  4. Step 4: Simplify right side
    4,231.40x = 25,577,543.58
  5. Step 5: Solve for x
    x = 25,577,543.58/4,231.40
  6. Step 6: Final answer
    x = 6,044.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.