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Finding the Fourth Proportional to 4,153.70, 5,732.08 and 2,265.25

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Solution

The fourth proportional to 4,153.70, 5,732.08 and 2,265.25 is: 3,126.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.70 : 5,732.08 = 2,265.25 : x
  2. Step 2: Convert to fraction form
    4,153.70/5,732.08 = 2,265.25/x
  3. Step 3: Cross multiply
    4,153.70x = 5,732.08 × 2,265.25
  4. Step 4: Simplify right side
    4,153.70x = 12,984,581.59
  5. Step 5: Solve for x
    x = 12,984,581.59/4,153.70
  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.