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Finding the Fourth Proportional to 4,267.98, 6,397.10 and 4,221.81

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Solution

The fourth proportional to 4,267.98, 6,397.10 and 4,221.81 is: 6,327.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,267.98 : 6,397.10 = 4,221.81 : x
  2. Step 2: Convert to fraction form
    4,267.98/6,397.10 = 4,221.81/x
  3. Step 3: Cross multiply
    4,267.98x = 6,397.10 × 4,221.81
  4. Step 4: Simplify right side
    4,267.98x = 27,007,319.64
  5. Step 5: Solve for x
    x = 27,007,319.64/4,267.98
  6. Step 6: Final answer
    x = 6,327.89

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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.