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Finding the Fourth Proportional to 4,171.30, 5,758.79 and 3,114.89

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Solution

The fourth proportional to 4,171.30, 5,758.79 and 3,114.89 is: 4,300.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,171.30 : 5,758.79 = 3,114.89 : x
  2. Step 2: Convert to fraction form
    4,171.30/5,758.79 = 3,114.89/x
  3. Step 3: Cross multiply
    4,171.30x = 5,758.79 × 3,114.89
  4. Step 4: Simplify right side
    4,171.30x = 17,937,997.38
  5. Step 5: Solve for x
    x = 17,937,997.38/4,171.30
  6. Step 6: Final answer
    x = 4,300.34

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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.