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Finding the Fourth Proportional to 3,679.84, 5,518.16 and 1,339.06

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Solution

The fourth proportional to 3,679.84, 5,518.16 and 1,339.06 is: 2,008.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.84 : 5,518.16 = 1,339.06 : x
  2. Step 2: Convert to fraction form
    3,679.84/5,518.16 = 1,339.06/x
  3. Step 3: Cross multiply
    3,679.84x = 5,518.16 × 1,339.06
  4. Step 4: Simplify right side
    3,679.84x = 7,389,147.33
  5. Step 5: Solve for x
    x = 7,389,147.33/3,679.84
  6. Step 6: Final answer
    x = 2,008.01

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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.