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Finding the Fourth Proportional to 3,549.39, 5,320.09 and 1,207.20

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Solution

The fourth proportional to 3,549.39, 5,320.09 and 1,207.20 is: 1,809.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.39 : 5,320.09 = 1,207.20 : x
  2. Step 2: Convert to fraction form
    3,549.39/5,320.09 = 1,207.20/x
  3. Step 3: Cross multiply
    3,549.39x = 5,320.09 × 1,207.20
  4. Step 4: Simplify right side
    3,549.39x = 6,422,412.65
  5. Step 5: Solve for x
    x = 6,422,412.65/3,549.39
  6. Step 6: Final answer
    x = 1,809.44

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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.