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Finding the Fourth Proportional to 5,073.57, 7,008.39 and 3,824.07

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Solution

The fourth proportional to 5,073.57, 7,008.39 and 3,824.07 is: 5,282.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,073.57 : 7,008.39 = 3,824.07 : x
  2. Step 2: Convert to fraction form
    5,073.57/7,008.39 = 3,824.07/x
  3. Step 3: Cross multiply
    5,073.57x = 7,008.39 × 3,824.07
  4. Step 4: Simplify right side
    5,073.57x = 26,800,573.95
  5. Step 5: Solve for x
    x = 26,800,573.95/5,073.57
  6. Step 6: Final answer
    x = 5,282.39

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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.