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Finding the Fourth Proportional to 3,279.34, 4,919.64 and 1,088.20

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Solution

The fourth proportional to 3,279.34, 4,919.64 and 1,088.20 is: 1,632.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,279.34 : 4,919.64 = 1,088.20 : x
  2. Step 2: Convert to fraction form
    3,279.34/4,919.64 = 1,088.20/x
  3. Step 3: Cross multiply
    3,279.34x = 4,919.64 × 1,088.20
  4. Step 4: Simplify right side
    3,279.34x = 5,353,552.25
  5. Step 5: Solve for x
    x = 5,353,552.25/3,279.34
  6. Step 6: Final answer
    x = 1,632.51

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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.