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Finding the Fourth Proportional to 3,478.86, 5,220.36 and 1,289.12

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Solution

The fourth proportional to 3,478.86, 5,220.36 and 1,289.12 is: 1,934.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.86 : 5,220.36 = 1,289.12 : x
  2. Step 2: Convert to fraction form
    3,478.86/5,220.36 = 1,289.12/x
  3. Step 3: Cross multiply
    3,478.86x = 5,220.36 × 1,289.12
  4. Step 4: Simplify right side
    3,478.86x = 6,729,644.38
  5. Step 5: Solve for x
    x = 6,729,644.38/3,478.86
  6. Step 6: Final answer
    x = 1,934.44

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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.