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Finding the Fourth Proportional to 5,652.22, 7,795.91 and 3,883.90

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Solution

The fourth proportional to 5,652.22, 7,795.91 and 3,883.90 is: 5,356.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,652.22 : 7,795.91 = 3,883.90 : x
  2. Step 2: Convert to fraction form
    5,652.22/7,795.91 = 3,883.90/x
  3. Step 3: Cross multiply
    5,652.22x = 7,795.91 × 3,883.90
  4. Step 4: Simplify right side
    5,652.22x = 30,278,534.85
  5. Step 5: Solve for x
    x = 30,278,534.85/5,652.22
  6. Step 6: Final answer
    x = 5,356.93

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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.