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Finding the Fourth Proportional to 5,213.99, 7,820.92 and 1,265.28

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Solution

The fourth proportional to 5,213.99, 7,820.92 and 1,265.28 is: 1,897.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.99 : 7,820.92 = 1,265.28 : x
  2. Step 2: Convert to fraction form
    5,213.99/7,820.92 = 1,265.28/x
  3. Step 3: Cross multiply
    5,213.99x = 7,820.92 × 1,265.28
  4. Step 4: Simplify right side
    5,213.99x = 9,895,682.68
  5. Step 5: Solve for x
    x = 9,895,682.68/5,213.99
  6. Step 6: Final answer
    x = 1,897.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.