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Finding the Fourth Proportional to 4,221.40, 6,337.80 and 2,468.20

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Solution

The fourth proportional to 4,221.40, 6,337.80 and 2,468.20 is: 3,705.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221.40 : 6,337.80 = 2,468.20 : x
  2. Step 2: Convert to fraction form
    4,221.40/6,337.80 = 2,468.20/x
  3. Step 3: Cross multiply
    4,221.40x = 6,337.80 × 2,468.20
  4. Step 4: Simplify right side
    4,221.40x = 15,642,957.96
  5. Step 5: Solve for x
    x = 15,642,957.96/4,221.40
  6. Step 6: Final answer
    x = 3,705.63

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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.