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Finding the Fourth Proportional to 3,360.96, 4,638.42 and 2,297.52

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Solution

The fourth proportional to 3,360.96, 4,638.42 and 2,297.52 is: 3,170.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,360.96 : 4,638.42 = 2,297.52 : x
  2. Step 2: Convert to fraction form
    3,360.96/4,638.42 = 2,297.52/x
  3. Step 3: Cross multiply
    3,360.96x = 4,638.42 × 2,297.52
  4. Step 4: Simplify right side
    3,360.96x = 10,656,862.72
  5. Step 5: Solve for x
    x = 10,656,862.72/3,360.96
  6. Step 6: Final answer
    x = 3,170.78

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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.