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Finding the Fourth Proportional to 3,903.66, 5,855.49 and 981.96

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Solution

The fourth proportional to 3,903.66, 5,855.49 and 981.96 is: 1,472.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.66 : 5,855.49 = 981.96 : x
  2. Step 2: Convert to fraction form
    3,903.66/5,855.49 = 981.96/x
  3. Step 3: Cross multiply
    3,903.66x = 5,855.49 × 981.96
  4. Step 4: Simplify right side
    3,903.66x = 5,749,856.96
  5. Step 5: Solve for x
    x = 5,749,856.96/3,903.66
  6. Step 6: Final answer
    x = 1,472.94

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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.