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Finding the Fourth Proportional to 5,202.75, 7,806.75 and 2,281.08

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Solution

The fourth proportional to 5,202.75, 7,806.75 and 2,281.08 is: 3,422.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.75 : 7,806.75 = 2,281.08 : x
  2. Step 2: Convert to fraction form
    5,202.75/7,806.75 = 2,281.08/x
  3. Step 3: Cross multiply
    5,202.75x = 7,806.75 × 2,281.08
  4. Step 4: Simplify right side
    5,202.75x = 17,807,821.29
  5. Step 5: Solve for x
    x = 17,807,821.29/5,202.75
  6. Step 6: Final answer
    x = 3,422.77

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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.