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Finding the Fourth Proportional to 3,143.67, 4,717.07 and 2,225.13

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Solution

The fourth proportional to 3,143.67, 4,717.07 and 2,225.13 is: 3,338.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.67 : 4,717.07 = 2,225.13 : x
  2. Step 2: Convert to fraction form
    3,143.67/4,717.07 = 2,225.13/x
  3. Step 3: Cross multiply
    3,143.67x = 4,717.07 × 2,225.13
  4. Step 4: Simplify right side
    3,143.67x = 10,496,082.84
  5. Step 5: Solve for x
    x = 10,496,082.84/3,143.67
  6. Step 6: Final answer
    x = 3,338.80

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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.