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Finding the Fourth Proportional to 4,247.67, 6,372.10 and 1,781.93

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Solution

The fourth proportional to 4,247.67, 6,372.10 and 1,781.93 is: 2,673.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,247.67 : 6,372.10 = 1,781.93 : x
  2. Step 2: Convert to fraction form
    4,247.67/6,372.10 = 1,781.93/x
  3. Step 3: Cross multiply
    4,247.67x = 6,372.10 × 1,781.93
  4. Step 4: Simplify right side
    4,247.67x = 11,354,636.15
  5. Step 5: Solve for x
    x = 11,354,636.15/4,247.67
  6. Step 6: Final answer
    x = 2,673.14

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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.