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Finding the Fourth Proportional to 3,981.48, 5,490.63 and 3,234.39

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Solution

The fourth proportional to 3,981.48, 5,490.63 and 3,234.39 is: 4,460.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981.48 : 5,490.63 = 3,234.39 : x
  2. Step 2: Convert to fraction form
    3,981.48/5,490.63 = 3,234.39/x
  3. Step 3: Cross multiply
    3,981.48x = 5,490.63 × 3,234.39
  4. Step 4: Simplify right side
    3,981.48x = 17,758,838.77
  5. Step 5: Solve for x
    x = 17,758,838.77/3,981.48
  6. Step 6: Final answer
    x = 4,460.36

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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.