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Finding the Fourth Proportional to 5,750.76, 8,629.49 and 2,418.77

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Solution

The fourth proportional to 5,750.76, 8,629.49 and 2,418.77 is: 3,629.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,750.76 : 8,629.49 = 2,418.77 : x
  2. Step 2: Convert to fraction form
    5,750.76/8,629.49 = 2,418.77/x
  3. Step 3: Cross multiply
    5,750.76x = 8,629.49 × 2,418.77
  4. Step 4: Simplify right side
    5,750.76x = 20,872,717.00
  5. Step 5: Solve for x
    x = 20,872,717.00/5,750.76
  6. Step 6: Final answer
    x = 3,629.56

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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.