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Finding the Fourth Proportional to 5,980.96, 8,986.08 and 5,649.40

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Solution

The fourth proportional to 5,980.96, 8,986.08 and 5,649.40 is: 8,487.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,980.96 : 8,986.08 = 5,649.40 : x
  2. Step 2: Convert to fraction form
    5,980.96/8,986.08 = 5,649.40/x
  3. Step 3: Cross multiply
    5,980.96x = 8,986.08 × 5,649.40
  4. Step 4: Simplify right side
    5,980.96x = 50,765,960.35
  5. Step 5: Solve for x
    x = 50,765,960.35/5,980.96
  6. Step 6: Final answer
    x = 8,487.93

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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.