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Finding the Fourth Proportional to 3,899.56, 5,380.72 and 3,702.56

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Solution

The fourth proportional to 3,899.56, 5,380.72 and 3,702.56 is: 5,108.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.56 : 5,380.72 = 3,702.56 : x
  2. Step 2: Convert to fraction form
    3,899.56/5,380.72 = 3,702.56/x
  3. Step 3: Cross multiply
    3,899.56x = 5,380.72 × 3,702.56
  4. Step 4: Simplify right side
    3,899.56x = 19,922,438.64
  5. Step 5: Solve for x
    x = 19,922,438.64/3,899.56
  6. Step 6: Final answer
    x = 5,108.89

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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.