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Finding the Fourth Proportional to 5,224.59, 7,836.93 and 1,329

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Solution

The fourth proportional to 5,224.59, 7,836.93 and 1,329 is: 1,993.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.59 : 7,836.93 = 1,329 : x
  2. Step 2: Convert to fraction form
    5,224.59/7,836.93 = 1,329/x
  3. Step 3: Cross multiply
    5,224.59x = 7,836.93 × 1,329
  4. Step 4: Simplify right side
    5,224.59x = 10,415,279.97
  5. Step 5: Solve for x
    x = 10,415,279.97/5,224.59
  6. Step 6: Final answer
    x = 1,993.51

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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.