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Finding the Fourth Proportional to 5,488.11, 8,221.22 and 4,174.08

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Solution

The fourth proportional to 5,488.11, 8,221.22 and 4,174.08 is: 6,252.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488.11 : 8,221.22 = 4,174.08 : x
  2. Step 2: Convert to fraction form
    5,488.11/8,221.22 = 4,174.08/x
  3. Step 3: Cross multiply
    5,488.11x = 8,221.22 × 4,174.08
  4. Step 4: Simplify right side
    5,488.11x = 34,316,009.11
  5. Step 5: Solve for x
    x = 34,316,009.11/5,488.11
  6. Step 6: Final answer
    x = 6,252.79

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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.