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Finding the Fourth Proportional to 3,931.03, 5,424.84 and 2,162.67

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Solution

The fourth proportional to 3,931.03, 5,424.84 and 2,162.67 is: 2,984.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,931.03 : 5,424.84 = 2,162.67 : x
  2. Step 2: Convert to fraction form
    3,931.03/5,424.84 = 2,162.67/x
  3. Step 3: Cross multiply
    3,931.03x = 5,424.84 × 2,162.67
  4. Step 4: Simplify right side
    3,931.03x = 11,732,118.38
  5. Step 5: Solve for x
    x = 11,732,118.38/3,931.03
  6. Step 6: Final answer
    x = 2,984.49

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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.