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Finding the Fourth Proportional to 4,153.76, 5,732.08 and 2,265.38

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Solution

The fourth proportional to 4,153.76, 5,732.08 and 2,265.38 is: 3,126.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.76 : 5,732.08 = 2,265.38 : x
  2. Step 2: Convert to fraction form
    4,153.76/5,732.08 = 2,265.38/x
  3. Step 3: Cross multiply
    4,153.76x = 5,732.08 × 2,265.38
  4. Step 4: Simplify right side
    4,153.76x = 12,985,305.07
  5. Step 5: Solve for x
    x = 12,985,305.07/4,153.76
  6. Step 6: Final answer
    x = 3,126.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.