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Finding the Fourth Proportional to 3,881.91, 5,822.27 and 1,416.73

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Solution

The fourth proportional to 3,881.91, 5,822.27 and 1,416.73 is: 2,124.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.91 : 5,822.27 = 1,416.73 : x
  2. Step 2: Convert to fraction form
    3,881.91/5,822.27 = 1,416.73/x
  3. Step 3: Cross multiply
    3,881.91x = 5,822.27 × 1,416.73
  4. Step 4: Simplify right side
    3,881.91x = 8,248,548.38
  5. Step 5: Solve for x
    x = 8,248,548.38/3,881.91
  6. Step 6: Final answer
    x = 2,124.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.