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Finding the Fourth Proportional to 4,174.04, 5,760.10 and 2,311

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Solution

The fourth proportional to 4,174.04, 5,760.10 and 2,311 is: 3,189.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.04 : 5,760.10 = 2,311 : x
  2. Step 2: Convert to fraction form
    4,174.04/5,760.10 = 2,311/x
  3. Step 3: Cross multiply
    4,174.04x = 5,760.10 × 2,311
  4. Step 4: Simplify right side
    4,174.04x = 13,311,591.10
  5. Step 5: Solve for x
    x = 13,311,591.10/4,174.04
  6. Step 6: Final answer
    x = 3,189.14

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1.5x scale

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.