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Finding the Fourth Proportional to 4,155.89, 5,735.14 and 2,363.38

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Solution

The fourth proportional to 4,155.89, 5,735.14 and 2,363.38 is: 3,261.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155.89 : 5,735.14 = 2,363.38 : x
  2. Step 2: Convert to fraction form
    4,155.89/5,735.14 = 2,363.38/x
  3. Step 3: Cross multiply
    4,155.89x = 5,735.14 × 2,363.38
  4. Step 4: Simplify right side
    4,155.89x = 13,554,315.17
  5. Step 5: Solve for x
    x = 13,554,315.17/4,155.89
  6. Step 6: Final answer
    x = 3,261.47

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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.