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Finding the Fourth Proportional to 5,985.41, 8,254.49 and 3,747.49

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Solution

The fourth proportional to 5,985.41, 8,254.49 and 3,747.49 is: 5,168.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,985.41 : 8,254.49 = 3,747.49 : x
  2. Step 2: Convert to fraction form
    5,985.41/8,254.49 = 3,747.49/x
  3. Step 3: Cross multiply
    5,985.41x = 8,254.49 × 3,747.49
  4. Step 4: Simplify right side
    5,985.41x = 30,933,558.72
  5. Step 5: Solve for x
    x = 30,933,558.72/5,985.41
  6. Step 6: Final answer
    x = 5,168.16

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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.