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Finding the Fourth Proportional to 3,469.68, 5,204.55 and 1,389.86

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Solution

The fourth proportional to 3,469.68, 5,204.55 and 1,389.86 is: 2,084.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.68 : 5,204.55 = 1,389.86 : x
  2. Step 2: Convert to fraction form
    3,469.68/5,204.55 = 1,389.86/x
  3. Step 3: Cross multiply
    3,469.68x = 5,204.55 × 1,389.86
  4. Step 4: Simplify right side
    3,469.68x = 7,233,595.86
  5. Step 5: Solve for x
    x = 7,233,595.86/3,469.68
  6. Step 6: Final answer
    x = 2,084.80

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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.