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Finding the Fourth Proportional to 4,447.49, 6,132.93 and 3,820.10

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Solution

The fourth proportional to 4,447.49, 6,132.93 and 3,820.10 is: 5,267.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,447.49 : 6,132.93 = 3,820.10 : x
  2. Step 2: Convert to fraction form
    4,447.49/6,132.93 = 3,820.10/x
  3. Step 3: Cross multiply
    4,447.49x = 6,132.93 × 3,820.10
  4. Step 4: Simplify right side
    4,447.49x = 23,428,375.23
  5. Step 5: Solve for x
    x = 23,428,375.23/4,447.49
  6. Step 6: Final answer
    x = 5,267.78

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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.