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Finding the Fourth Proportional to 3,453.25, 5,180.10 and 988.27

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Solution

The fourth proportional to 3,453.25, 5,180.10 and 988.27 is: 1,482.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.25 : 5,180.10 = 988.27 : x
  2. Step 2: Convert to fraction form
    3,453.25/5,180.10 = 988.27/x
  3. Step 3: Cross multiply
    3,453.25x = 5,180.10 × 988.27
  4. Step 4: Simplify right side
    3,453.25x = 5,119,337.43
  5. Step 5: Solve for x
    x = 5,119,337.43/3,453.25
  6. Step 6: Final answer
    x = 1,482.47

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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.