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Finding the Fourth Proportional to 5,671.50, 7,826.65 and 3,153.53

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Solution

The fourth proportional to 5,671.50, 7,826.65 and 3,153.53 is: 4,351.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.50 : 7,826.65 = 3,153.53 : x
  2. Step 2: Convert to fraction form
    5,671.50/7,826.65 = 3,153.53/x
  3. Step 3: Cross multiply
    5,671.50x = 7,826.65 × 3,153.53
  4. Step 4: Simplify right side
    5,671.50x = 24,681,575.57
  5. Step 5: Solve for x
    x = 24,681,575.57/5,671.50
  6. Step 6: Final answer
    x = 4,351.86

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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.