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Finding the Fourth Proportional to 5,989.65, 8,984.44 and 5,980.98

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Solution

The fourth proportional to 5,989.65, 8,984.44 and 5,980.98 is: 8,971.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,989.65 : 8,984.44 = 5,980.98 : x
  2. Step 2: Convert to fraction form
    5,989.65/8,984.44 = 5,980.98/x
  3. Step 3: Cross multiply
    5,989.65x = 8,984.44 × 5,980.98
  4. Step 4: Simplify right side
    5,989.65x = 53,735,755.95
  5. Step 5: Solve for x
    x = 53,735,755.95/5,989.65
  6. Step 6: Final answer
    x = 8,971.44

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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.