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Finding the Fourth Proportional to 5,970.78, 8,239.73 and 3,318.23

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Solution

The fourth proportional to 5,970.78, 8,239.73 and 3,318.23 is: 4,579.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970.78 : 8,239.73 = 3,318.23 : x
  2. Step 2: Convert to fraction form
    5,970.78/8,239.73 = 3,318.23/x
  3. Step 3: Cross multiply
    5,970.78x = 8,239.73 × 3,318.23
  4. Step 4: Simplify right side
    5,970.78x = 27,341,323.29
  5. Step 5: Solve for x
    x = 27,341,323.29/5,970.78
  6. Step 6: Final answer
    x = 4,579.19

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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.