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Finding the Fourth Proportional to 3,715.68, 5,128.10 and 2,143.78

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Solution

The fourth proportional to 3,715.68, 5,128.10 and 2,143.78 is: 2,958.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,715.68 : 5,128.10 = 2,143.78 : x
  2. Step 2: Convert to fraction form
    3,715.68/5,128.10 = 2,143.78/x
  3. Step 3: Cross multiply
    3,715.68x = 5,128.10 × 2,143.78
  4. Step 4: Simplify right side
    3,715.68x = 10,993,518.22
  5. Step 5: Solve for x
    x = 10,993,518.22/3,715.68
  6. Step 6: Final answer
    x = 2,958.68

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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.