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Finding the Fourth Proportional to 3,838.29, 5,296.92 and 2,159.67

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Solution

The fourth proportional to 3,838.29, 5,296.92 and 2,159.67 is: 2,980.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.29 : 5,296.92 = 2,159.67 : x
  2. Step 2: Convert to fraction form
    3,838.29/5,296.92 = 2,159.67/x
  3. Step 3: Cross multiply
    3,838.29x = 5,296.92 × 2,159.67
  4. Step 4: Simplify right side
    3,838.29x = 11,439,599.22
  5. Step 5: Solve for x
    x = 11,439,599.22/3,838.29
  6. Step 6: Final answer
    x = 2,980.39

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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.