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Finding the Fourth Proportional to 5,671.41, 7,826.72 and 3,433.70

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Solution

The fourth proportional to 5,671.41, 7,826.72 and 3,433.70 is: 4,738.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.41 : 7,826.72 = 3,433.70 : x
  2. Step 2: Convert to fraction form
    5,671.41/7,826.72 = 3,433.70/x
  3. Step 3: Cross multiply
    5,671.41x = 7,826.72 × 3,433.70
  4. Step 4: Simplify right side
    5,671.41x = 26,874,552.16
  5. Step 5: Solve for x
    x = 26,874,552.16/5,671.41
  6. Step 6: Final answer
    x = 4,738.60

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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.