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Finding the Fourth Proportional to 5,671.28, 7,826.56 and 3,153.36

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Solution

The fourth proportional to 5,671.28, 7,826.56 and 3,153.36 is: 4,351.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.28 : 7,826.56 = 3,153.36 : x
  2. Step 2: Convert to fraction form
    5,671.28/7,826.56 = 3,153.36/x
  3. Step 3: Cross multiply
    5,671.28x = 7,826.56 × 3,153.36
  4. Step 4: Simplify right side
    5,671.28x = 24,679,961.24
  5. Step 5: Solve for x
    x = 24,679,961.24/5,671.28
  6. Step 6: Final answer
    x = 4,351.74

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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.