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Finding the Fourth Proportional to 3,838.68, 5,754.68 and 1,988.82

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Solution

The fourth proportional to 3,838.68, 5,754.68 and 1,988.82 is: 2,981.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.68 : 5,754.68 = 1,988.82 : x
  2. Step 2: Convert to fraction form
    3,838.68/5,754.68 = 1,988.82/x
  3. Step 3: Cross multiply
    3,838.68x = 5,754.68 × 1,988.82
  4. Step 4: Simplify right side
    3,838.68x = 11,445,022.68
  5. Step 5: Solve for x
    x = 11,445,022.68/3,838.68
  6. Step 6: Final answer
    x = 2,981.50

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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.