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Finding the Fourth Proportional to 5,362.50, 8,048.07 and 2,766.18

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Solution

The fourth proportional to 5,362.50, 8,048.07 and 2,766.18 is: 4,151.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,362.50 : 8,048.07 = 2,766.18 : x
  2. Step 2: Convert to fraction form
    5,362.50/8,048.07 = 2,766.18/x
  3. Step 3: Cross multiply
    5,362.50x = 8,048.07 × 2,766.18
  4. Step 4: Simplify right side
    5,362.50x = 22,262,410.27
  5. Step 5: Solve for x
    x = 22,262,410.27/5,362.50
  6. Step 6: Final answer
    x = 4,151.50

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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.