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Finding the Fourth Proportional to 5,671.08, 7,826.16 and 3,432.48

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Solution

The fourth proportional to 5,671.08, 7,826.16 and 3,432.48 is: 4,736.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.08 : 7,826.16 = 3,432.48 : x
  2. Step 2: Convert to fraction form
    5,671.08/7,826.16 = 3,432.48/x
  3. Step 3: Cross multiply
    5,671.08x = 7,826.16 × 3,432.48
  4. Step 4: Simplify right side
    5,671.08x = 26,863,137.68
  5. Step 5: Solve for x
    x = 26,863,137.68/5,671.08
  6. Step 6: Final answer
    x = 4,736.86

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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.