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Finding the Fourth Proportional to 3,416.71, 5,122.87 and 1,441.80

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Solution

The fourth proportional to 3,416.71, 5,122.87 and 1,441.80 is: 2,161.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.71 : 5,122.87 = 1,441.80 : x
  2. Step 2: Convert to fraction form
    3,416.71/5,122.87 = 1,441.80/x
  3. Step 3: Cross multiply
    3,416.71x = 5,122.87 × 1,441.80
  4. Step 4: Simplify right side
    3,416.71x = 7,386,155.77
  5. Step 5: Solve for x
    x = 7,386,155.77/3,416.71
  6. Step 6: Final answer
    x = 2,161.77

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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.