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Finding the Fourth Proportional to 5,243.81, 7,863.15 and 2,468.15

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Solution

The fourth proportional to 5,243.81, 7,863.15 and 2,468.15 is: 3,701.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.81 : 7,863.15 = 2,468.15 : x
  2. Step 2: Convert to fraction form
    5,243.81/7,863.15 = 2,468.15/x
  3. Step 3: Cross multiply
    5,243.81x = 7,863.15 × 2,468.15
  4. Step 4: Simplify right side
    5,243.81x = 19,407,394.36
  5. Step 5: Solve for x
    x = 19,407,394.36/5,243.81
  6. Step 6: Final answer
    x = 3,701.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.