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Finding the Fourth Proportional to 3,278.71, 4,522.30 and 3,170.24

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Solution

The fourth proportional to 3,278.71, 4,522.30 and 3,170.24 is: 4,372.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.71 : 4,522.30 = 3,170.24 : x
  2. Step 2: Convert to fraction form
    3,278.71/4,522.30 = 3,170.24/x
  3. Step 3: Cross multiply
    3,278.71x = 4,522.30 × 3,170.24
  4. Step 4: Simplify right side
    3,278.71x = 14,336,762.77
  5. Step 5: Solve for x
    x = 14,336,762.77/3,278.71
  6. Step 6: Final answer
    x = 4,372.68

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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.