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Finding the Fourth Proportional to 3,809.48, 5,712.17 and 1,176.20

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Solution

The fourth proportional to 3,809.48, 5,712.17 and 1,176.20 is: 1,763.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.48 : 5,712.17 = 1,176.20 : x
  2. Step 2: Convert to fraction form
    3,809.48/5,712.17 = 1,176.20/x
  3. Step 3: Cross multiply
    3,809.48x = 5,712.17 × 1,176.20
  4. Step 4: Simplify right side
    3,809.48x = 6,718,631.88
  5. Step 5: Solve for x
    x = 6,718,631.88/3,809.48
  6. Step 6: Final answer
    x = 1,763.66

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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.