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Finding the Fourth Proportional to 4,370.78, 6,553.74 and 1,447.49

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Solution

The fourth proportional to 4,370.78, 6,553.74 and 1,447.49 is: 2,170.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,370.78 : 6,553.74 = 1,447.49 : x
  2. Step 2: Convert to fraction form
    4,370.78/6,553.74 = 1,447.49/x
  3. Step 3: Cross multiply
    4,370.78x = 6,553.74 × 1,447.49
  4. Step 4: Simplify right side
    4,370.78x = 9,486,473.11
  5. Step 5: Solve for x
    x = 9,486,473.11/4,370.78
  6. Step 6: Final answer
    x = 2,170.43

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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.