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Finding the Fourth Proportional to 5,969.43, 8,235.63 and 3,610.71

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Solution

The fourth proportional to 5,969.43, 8,235.63 and 3,610.71 is: 4,981.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.43 : 8,235.63 = 3,610.71 : x
  2. Step 2: Convert to fraction form
    5,969.43/8,235.63 = 3,610.71/x
  3. Step 3: Cross multiply
    5,969.43x = 8,235.63 × 3,610.71
  4. Step 4: Simplify right side
    5,969.43x = 29,736,471.60
  5. Step 5: Solve for x
    x = 29,736,471.60/5,969.43
  6. Step 6: Final answer
    x = 4,981.46

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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.