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Finding the Fourth Proportional to 3,679.68, 5,519.20 and 1,214.08

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Solution

The fourth proportional to 3,679.68, 5,519.20 and 1,214.08 is: 1,821.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.68 : 5,519.20 = 1,214.08 : x
  2. Step 2: Convert to fraction form
    3,679.68/5,519.20 = 1,214.08/x
  3. Step 3: Cross multiply
    3,679.68x = 5,519.20 × 1,214.08
  4. Step 4: Simplify right side
    3,679.68x = 6,700,750.34
  5. Step 5: Solve for x
    x = 6,700,750.34/3,679.68
  6. Step 6: Final answer
    x = 1,821.01

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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.