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Finding the Fourth Proportional to 3,838.78, 5,297.63 and 2,160.34

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Solution

The fourth proportional to 3,838.78, 5,297.63 and 2,160.34 is: 2,981.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.78 : 5,297.63 = 2,160.34 : x
  2. Step 2: Convert to fraction form
    3,838.78/5,297.63 = 2,160.34/x
  3. Step 3: Cross multiply
    3,838.78x = 5,297.63 × 2,160.34
  4. Step 4: Simplify right side
    3,838.78x = 11,444,681.99
  5. Step 5: Solve for x
    x = 11,444,681.99/3,838.78
  6. Step 6: Final answer
    x = 2,981.33

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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.