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Finding the Fourth Proportional to 5,246.16, 7,869.70 and 1,350.56

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Solution

The fourth proportional to 5,246.16, 7,869.70 and 1,350.56 is: 2,025.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246.16 : 7,869.70 = 1,350.56 : x
  2. Step 2: Convert to fraction form
    5,246.16/7,869.70 = 1,350.56/x
  3. Step 3: Cross multiply
    5,246.16x = 7,869.70 × 1,350.56
  4. Step 4: Simplify right side
    5,246.16x = 10,628,502.03
  5. Step 5: Solve for x
    x = 10,628,502.03/5,246.16
  6. Step 6: Final answer
    x = 2,025.96

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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.