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Finding the Fourth Proportional to 3,453.92, 5,180.10 and 988.22

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Solution

The fourth proportional to 3,453.92, 5,180.10 and 988.22 is: 1,482.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.92 : 5,180.10 = 988.22 : x
  2. Step 2: Convert to fraction form
    3,453.92/5,180.10 = 988.22/x
  3. Step 3: Cross multiply
    3,453.92x = 5,180.10 × 988.22
  4. Step 4: Simplify right side
    3,453.92x = 5,119,078.42
  5. Step 5: Solve for x
    x = 5,119,078.42/3,453.92
  6. Step 6: Final answer
    x = 1,482.11

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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.