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Finding the Fourth Proportional to 4,153.75, 5,732.10 and 2,265.27

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Solution

The fourth proportional to 4,153.75, 5,732.10 and 2,265.27 is: 3,126.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.75 : 5,732.10 = 2,265.27 : x
  2. Step 2: Convert to fraction form
    4,153.75/5,732.10 = 2,265.27/x
  3. Step 3: Cross multiply
    4,153.75x = 5,732.10 × 2,265.27
  4. Step 4: Simplify right side
    4,153.75x = 12,984,754.17
  5. Step 5: Solve for x
    x = 12,984,754.17/4,153.75
  6. Step 6: Final answer
    x = 3,126.03

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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.