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Finding the Fourth Proportional to 5,970.86, 8,239.80 and 3,318.30

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Solution

The fourth proportional to 5,970.86, 8,239.80 and 3,318.30 is: 4,579.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970.86 : 8,239.80 = 3,318.30 : x
  2. Step 2: Convert to fraction form
    5,970.86/8,239.80 = 3,318.30/x
  3. Step 3: Cross multiply
    5,970.86x = 8,239.80 × 3,318.30
  4. Step 4: Simplify right side
    5,970.86x = 27,342,128.34
  5. Step 5: Solve for x
    x = 27,342,128.34/5,970.86
  6. Step 6: Final answer
    x = 4,579.26

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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.