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Finding the Fourth Proportional to 5,215.33, 7,822.98 and 1,755.01

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Solution

The fourth proportional to 5,215.33, 7,822.98 and 1,755.01 is: 2,632.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.33 : 7,822.98 = 1,755.01 : x
  2. Step 2: Convert to fraction form
    5,215.33/7,822.98 = 1,755.01/x
  3. Step 3: Cross multiply
    5,215.33x = 7,822.98 × 1,755.01
  4. Step 4: Simplify right side
    5,215.33x = 13,729,408.13
  5. Step 5: Solve for x
    x = 13,729,408.13/5,215.33
  6. Step 6: Final answer
    x = 2,632.51

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1.5x scale

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.