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Finding the Fourth Proportional to 3,900.04, 5,382.06 and 2,131.64

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Solution

The fourth proportional to 3,900.04, 5,382.06 and 2,131.64 is: 2,941.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.04 : 5,382.06 = 2,131.64 : x
  2. Step 2: Convert to fraction form
    3,900.04/5,382.06 = 2,131.64/x
  3. Step 3: Cross multiply
    3,900.04x = 5,382.06 × 2,131.64
  4. Step 4: Simplify right side
    3,900.04x = 11,472,614.38
  5. Step 5: Solve for x
    x = 11,472,614.38/3,900.04
  6. Step 6: Final answer
    x = 2,941.67

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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.