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Finding the Fourth Proportional to 3,416.28, 4,711.22 and 3,161.72

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Solution

The fourth proportional to 3,416.28, 4,711.22 and 3,161.72 is: 4,360.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.28 : 4,711.22 = 3,161.72 : x
  2. Step 2: Convert to fraction form
    3,416.28/4,711.22 = 3,161.72/x
  3. Step 3: Cross multiply
    3,416.28x = 4,711.22 × 3,161.72
  4. Step 4: Simplify right side
    3,416.28x = 14,895,558.50
  5. Step 5: Solve for x
    x = 14,895,558.50/3,416.28
  6. Step 6: Final answer
    x = 4,360.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.