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Finding the Fourth Proportional to 4,221.48, 6,335.24 and 2,031.42

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Solution

The fourth proportional to 4,221.48, 6,335.24 and 2,031.42 is: 3,048.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221.48 : 6,335.24 = 2,031.42 : x
  2. Step 2: Convert to fraction form
    4,221.48/6,335.24 = 2,031.42/x
  3. Step 3: Cross multiply
    4,221.48x = 6,335.24 × 2,031.42
  4. Step 4: Simplify right side
    4,221.48x = 12,869,523.08
  5. Step 5: Solve for x
    x = 12,869,523.08/4,221.48
  6. Step 6: Final answer
    x = 3,048.58

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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.