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Finding the Fourth Proportional to 5,242.24, 7,863.70 and 1,346.56

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Solution

The fourth proportional to 5,242.24, 7,863.70 and 1,346.56 is: 2,019.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.24 : 7,863.70 = 1,346.56 : x
  2. Step 2: Convert to fraction form
    5,242.24/7,863.70 = 1,346.56/x
  3. Step 3: Cross multiply
    5,242.24x = 7,863.70 × 1,346.56
  4. Step 4: Simplify right side
    5,242.24x = 10,588,943.87
  5. Step 5: Solve for x
    x = 10,588,943.87/5,242.24
  6. Step 6: Final answer
    x = 2,019.93

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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.