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Finding the Fourth Proportional to 3,480.86, 5,225.75 and 2,990.41

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Solution

The fourth proportional to 3,480.86, 5,225.75 and 2,990.41 is: 4,489.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.86 : 5,225.75 = 2,990.41 : x
  2. Step 2: Convert to fraction form
    3,480.86/5,225.75 = 2,990.41/x
  3. Step 3: Cross multiply
    3,480.86x = 5,225.75 × 2,990.41
  4. Step 4: Simplify right side
    3,480.86x = 15,627,118.26
  5. Step 5: Solve for x
    x = 15,627,118.26/3,480.86
  6. Step 6: Final answer
    x = 4,489.44

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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.