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Finding the Fourth Proportional to 5,671.60, 7,826.96 and 3,433

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Solution

The fourth proportional to 5,671.60, 7,826.96 and 3,433 is: 4,737.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.60 : 7,826.96 = 3,433 : x
  2. Step 2: Convert to fraction form
    5,671.60/7,826.96 = 3,433/x
  3. Step 3: Cross multiply
    5,671.60x = 7,826.96 × 3,433
  4. Step 4: Simplify right side
    5,671.60x = 26,869,953.68
  5. Step 5: Solve for x
    x = 26,869,953.68/5,671.60
  6. Step 6: Final answer
    x = 4,737.63

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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.