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Finding the Fourth Proportional to 5,488.74, 8,219.25 and 3,634.25

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Solution

The fourth proportional to 5,488.74, 8,219.25 and 3,634.25 is: 5,442.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488.74 : 8,219.25 = 3,634.25 : x
  2. Step 2: Convert to fraction form
    5,488.74/8,219.25 = 3,634.25/x
  3. Step 3: Cross multiply
    5,488.74x = 8,219.25 × 3,634.25
  4. Step 4: Simplify right side
    5,488.74x = 29,870,768.22
  5. Step 5: Solve for x
    x = 29,870,768.22/5,488.74
  6. Step 6: Final answer
    x = 5,442.19

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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.