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Finding the Fourth Proportional to 3,976.48, 5,964.78 and 1,055.20

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Solution

The fourth proportional to 3,976.48, 5,964.78 and 1,055.20 is: 1,582.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.48 : 5,964.78 = 1,055.20 : x
  2. Step 2: Convert to fraction form
    3,976.48/5,964.78 = 1,055.20/x
  3. Step 3: Cross multiply
    3,976.48x = 5,964.78 × 1,055.20
  4. Step 4: Simplify right side
    3,976.48x = 6,294,035.86
  5. Step 5: Solve for x
    x = 6,294,035.86/3,976.48
  6. Step 6: Final answer
    x = 1,582.82

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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.