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Finding the Fourth Proportional to 5,209.49, 7,822.33 and 4,226.15

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Solution

The fourth proportional to 5,209.49, 7,822.33 and 4,226.15 is: 6,345.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.49 : 7,822.33 = 4,226.15 : x
  2. Step 2: Convert to fraction form
    5,209.49/7,822.33 = 4,226.15/x
  3. Step 3: Cross multiply
    5,209.49x = 7,822.33 × 4,226.15
  4. Step 4: Simplify right side
    5,209.49x = 33,058,290.25
  5. Step 5: Solve for x
    x = 33,058,290.25/5,209.49
  6. Step 6: Final answer
    x = 6,345.79

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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.