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Finding the Fourth Proportional to 5,262, 7,893 and 1,799.52

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Solution

The fourth proportional to 5,262, 7,893 and 1,799.52 is: 2,699.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262 : 7,893 = 1,799.52 : x
  2. Step 2: Convert to fraction form
    5,262/7,893 = 1,799.52/x
  3. Step 3: Cross multiply
    5,262x = 7,893 × 1,799.52
  4. Step 4: Simplify right side
    5,262x = 14,203,611.36
  5. Step 5: Solve for x
    x = 14,203,611.36/5,262
  6. Step 6: Final answer
    x = 2,699.28

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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.