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Finding the Fourth Proportional to 5,682.86, 7,844.95 and 3,669.22

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Solution

The fourth proportional to 5,682.86, 7,844.95 and 3,669.22 is: 5,065.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.86 : 7,844.95 = 3,669.22 : x
  2. Step 2: Convert to fraction form
    5,682.86/7,844.95 = 3,669.22/x
  3. Step 3: Cross multiply
    5,682.86x = 7,844.95 × 3,669.22
  4. Step 4: Simplify right side
    5,682.86x = 28,784,883.90
  5. Step 5: Solve for x
    x = 28,784,883.90/5,682.86
  6. Step 6: Final answer
    x = 5,065.21

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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.