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Finding the Fourth Proportional to 8,981.46, 13,472.19 and 2,825.46

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Solution

The fourth proportional to 8,981.46, 13,472.19 and 2,825.46 is: 4,238.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,981.46 : 13,472.19 = 2,825.46 : x
  2. Step 2: Convert to fraction form
    8,981.46/13,472.19 = 2,825.46/x
  3. Step 3: Cross multiply
    8,981.46x = 13,472.19 × 2,825.46
  4. Step 4: Simplify right side
    8,981.46x = 38,065,133.96
  5. Step 5: Solve for x
    x = 38,065,133.96/8,981.46
  6. Step 6: Final answer
    x = 4,238.19

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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.