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Finding the Fourth Proportional to 3,927.34, 5,420.02 and 2,249.27

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Solution

The fourth proportional to 3,927.34, 5,420.02 and 2,249.27 is: 3,104.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.34 : 5,420.02 = 2,249.27 : x
  2. Step 2: Convert to fraction form
    3,927.34/5,420.02 = 2,249.27/x
  3. Step 3: Cross multiply
    3,927.34x = 5,420.02 × 2,249.27
  4. Step 4: Simplify right side
    3,927.34x = 12,191,088.39
  5. Step 5: Solve for x
    x = 12,191,088.39/3,927.34
  6. Step 6: Final answer
    x = 3,104.16

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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.