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Finding the Fourth Proportional to 5,449.47, 7,526.40 and 3,678

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Solution

The fourth proportional to 5,449.47, 7,526.40 and 3,678 is: 5,079.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,449.47 : 7,526.40 = 3,678 : x
  2. Step 2: Convert to fraction form
    5,449.47/7,526.40 = 3,678/x
  3. Step 3: Cross multiply
    5,449.47x = 7,526.40 × 3,678
  4. Step 4: Simplify right side
    5,449.47x = 27,682,099.20
  5. Step 5: Solve for x
    x = 27,682,099.20/5,449.47
  6. Step 6: Final answer
    x = 5,079.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.