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Finding the Fourth Proportional to 5,640.60, 8,462.36 and 3,302.58

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Solution

The fourth proportional to 5,640.60, 8,462.36 and 3,302.58 is: 4,954.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.60 : 8,462.36 = 3,302.58 : x
  2. Step 2: Convert to fraction form
    5,640.60/8,462.36 = 3,302.58/x
  3. Step 3: Cross multiply
    5,640.60x = 8,462.36 × 3,302.58
  4. Step 4: Simplify right side
    5,640.60x = 27,947,620.89
  5. Step 5: Solve for x
    x = 27,947,620.89/5,640.60
  6. Step 6: Final answer
    x = 4,954.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.