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Finding the Fourth Proportional to 3,679.80, 5,518.52 and 1,214.16

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Solution

The fourth proportional to 3,679.80, 5,518.52 and 1,214.16 is: 1,820.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.80 : 5,518.52 = 1,214.16 : x
  2. Step 2: Convert to fraction form
    3,679.80/5,518.52 = 1,214.16/x
  3. Step 3: Cross multiply
    3,679.80x = 5,518.52 × 1,214.16
  4. Step 4: Simplify right side
    3,679.80x = 6,700,366.24
  5. Step 5: Solve for x
    x = 6,700,366.24/3,679.80
  6. Step 6: Final answer
    x = 1,820.85

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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.