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Finding the Fourth Proportional to 3,462.18, 5,193.27 and 865.12

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Solution

The fourth proportional to 3,462.18, 5,193.27 and 865.12 is: 1,297.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.18 : 5,193.27 = 865.12 : x
  2. Step 2: Convert to fraction form
    3,462.18/5,193.27 = 865.12/x
  3. Step 3: Cross multiply
    3,462.18x = 5,193.27 × 865.12
  4. Step 4: Simplify right side
    3,462.18x = 4,492,801.74
  5. Step 5: Solve for x
    x = 4,492,801.74/3,462.18
  6. Step 6: Final answer
    x = 1,297.68

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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.