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Finding the Fourth Proportional to 5,980.65, 8,970.61 and 2,231.71

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Solution

The fourth proportional to 5,980.65, 8,970.61 and 2,231.71 is: 3,347.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,980.65 : 8,970.61 = 2,231.71 : x
  2. Step 2: Convert to fraction form
    5,980.65/8,970.61 = 2,231.71/x
  3. Step 3: Cross multiply
    5,980.65x = 8,970.61 × 2,231.71
  4. Step 4: Simplify right side
    5,980.65x = 20,019,800.04
  5. Step 5: Solve for x
    x = 20,019,800.04/5,980.65
  6. Step 6: Final answer
    x = 3,347.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.