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Finding the Fourth Proportional to 3,652.46, 5,478.50 and 3,246.26

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Solution

The fourth proportional to 3,652.46, 5,478.50 and 3,246.26 is: 4,869.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.46 : 5,478.50 = 3,246.26 : x
  2. Step 2: Convert to fraction form
    3,652.46/5,478.50 = 3,246.26/x
  3. Step 3: Cross multiply
    3,652.46x = 5,478.50 × 3,246.26
  4. Step 4: Simplify right side
    3,652.46x = 17,784,635.41
  5. Step 5: Solve for x
    x = 17,784,635.41/3,652.46
  6. Step 6: Final answer
    x = 4,869.22

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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.