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Finding the Fourth Proportional to 5,970.86, 8,239.47 and 3,318.20

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Solution

The fourth proportional to 5,970.86, 8,239.47 and 3,318.20 is: 4,578.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970.86 : 8,239.47 = 3,318.20 : x
  2. Step 2: Convert to fraction form
    5,970.86/8,239.47 = 3,318.20/x
  3. Step 3: Cross multiply
    5,970.86x = 8,239.47 × 3,318.20
  4. Step 4: Simplify right side
    5,970.86x = 27,340,209.35
  5. Step 5: Solve for x
    x = 27,340,209.35/5,970.86
  6. Step 6: Final answer
    x = 4,578.94

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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.