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Finding the Fourth Proportional to 4,265.14, 6,402.60 and 4,022.14

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Solution

The fourth proportional to 4,265.14, 6,402.60 and 4,022.14 is: 6,037.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,265.14 : 6,402.60 = 4,022.14 : x
  2. Step 2: Convert to fraction form
    4,265.14/6,402.60 = 4,022.14/x
  3. Step 3: Cross multiply
    4,265.14x = 6,402.60 × 4,022.14
  4. Step 4: Simplify right side
    4,265.14x = 25,752,153.56
  5. Step 5: Solve for x
    x = 25,752,153.56/4,265.14
  6. Step 6: Final answer
    x = 6,037.82

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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.