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Finding the Fourth Proportional to 3,749.65, 5,174.21 and 2,156.22

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Solution

The fourth proportional to 3,749.65, 5,174.21 and 2,156.22 is: 2,975.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749.65 : 5,174.21 = 2,156.22 : x
  2. Step 2: Convert to fraction form
    3,749.65/5,174.21 = 2,156.22/x
  3. Step 3: Cross multiply
    3,749.65x = 5,174.21 × 2,156.22
  4. Step 4: Simplify right side
    3,749.65x = 11,156,740.48
  5. Step 5: Solve for x
    x = 11,156,740.48/3,749.65
  6. Step 6: Final answer
    x = 2,975.41

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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.