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Finding the Fourth Proportional to 5,299.56, 7,951.20 and 2,378.16

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Solution

The fourth proportional to 5,299.56, 7,951.20 and 2,378.16 is: 3,568.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299.56 : 7,951.20 = 2,378.16 : x
  2. Step 2: Convert to fraction form
    5,299.56/7,951.20 = 2,378.16/x
  3. Step 3: Cross multiply
    5,299.56x = 7,951.20 × 2,378.16
  4. Step 4: Simplify right side
    5,299.56x = 18,909,225.79
  5. Step 5: Solve for x
    x = 18,909,225.79/5,299.56
  6. Step 6: Final answer
    x = 3,568.07

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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.