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Finding the Fourth Proportional to 5,781.24, 7,977.60 and 3,263.22

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Solution

The fourth proportional to 5,781.24, 7,977.60 and 3,263.22 is: 4,502.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.24 : 7,977.60 = 3,263.22 : x
  2. Step 2: Convert to fraction form
    5,781.24/7,977.60 = 3,263.22/x
  3. Step 3: Cross multiply
    5,781.24x = 7,977.60 × 3,263.22
  4. Step 4: Simplify right side
    5,781.24x = 26,032,663.87
  5. Step 5: Solve for x
    x = 26,032,663.87/5,781.24
  6. Step 6: Final answer
    x = 4,502.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.