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Finding the Fourth Proportional to 3,450.48, 5,175.80 and 985.52

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Solution

The fourth proportional to 3,450.48, 5,175.80 and 985.52 is: 1,478.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450.48 : 5,175.80 = 985.52 : x
  2. Step 2: Convert to fraction form
    3,450.48/5,175.80 = 985.52/x
  3. Step 3: Cross multiply
    3,450.48x = 5,175.80 × 985.52
  4. Step 4: Simplify right side
    3,450.48x = 5,100,854.42
  5. Step 5: Solve for x
    x = 5,100,854.42/3,450.48
  6. Step 6: Final answer
    x = 1,478.30

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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.