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Finding the Fourth Proportional to 5,169.03, 7,758.14 and 3,409.11

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Solution

The fourth proportional to 5,169.03, 7,758.14 and 3,409.11 is: 5,116.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169.03 : 7,758.14 = 3,409.11 : x
  2. Step 2: Convert to fraction form
    5,169.03/7,758.14 = 3,409.11/x
  3. Step 3: Cross multiply
    5,169.03x = 7,758.14 × 3,409.11
  4. Step 4: Simplify right side
    5,169.03x = 26,448,335.61
  5. Step 5: Solve for x
    x = 26,448,335.61/5,169.03
  6. Step 6: Final answer
    x = 5,116.69

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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.