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Finding the Fourth Proportional to 3,888.16, 5,832.38 and 966.48

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Solution

The fourth proportional to 3,888.16, 5,832.38 and 966.48 is: 1,449.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888.16 : 5,832.38 = 966.48 : x
  2. Step 2: Convert to fraction form
    3,888.16/5,832.38 = 966.48/x
  3. Step 3: Cross multiply
    3,888.16x = 5,832.38 × 966.48
  4. Step 4: Simplify right side
    3,888.16x = 5,636,878.62
  5. Step 5: Solve for x
    x = 5,636,878.62/3,888.16
  6. Step 6: Final answer
    x = 1,449.75

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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.