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Finding the Fourth Proportional to 6,188.57, 9,280.70 and 2,489.84

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Solution

The fourth proportional to 6,188.57, 9,280.70 and 2,489.84 is: 3,733.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.57 : 9,280.70 = 2,489.84 : x
  2. Step 2: Convert to fraction form
    6,188.57/9,280.70 = 2,489.84/x
  3. Step 3: Cross multiply
    6,188.57x = 9,280.70 × 2,489.84
  4. Step 4: Simplify right side
    6,188.57x = 23,107,445.64
  5. Step 5: Solve for x
    x = 23,107,445.64/6,188.57
  6. Step 6: Final answer
    x = 3,733.89

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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.