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Finding the Fourth Proportional to 3,899.21, 5,377.34 and 3,048.57

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Solution

The fourth proportional to 3,899.21, 5,377.34 and 3,048.57 is: 4,204.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.21 : 5,377.34 = 3,048.57 : x
  2. Step 2: Convert to fraction form
    3,899.21/5,377.34 = 3,048.57/x
  3. Step 3: Cross multiply
    3,899.21x = 5,377.34 × 3,048.57
  4. Step 4: Simplify right side
    3,899.21x = 16,393,182.16
  5. Step 5: Solve for x
    x = 16,393,182.16/3,899.21
  6. Step 6: Final answer
    x = 4,204.24

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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.