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Finding the Fourth Proportional to 4,803.68, 7,215.24 and 2,859.68

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Solution

The fourth proportional to 4,803.68, 7,215.24 and 2,859.68 is: 4,295.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,803.68 : 7,215.24 = 2,859.68 : x
  2. Step 2: Convert to fraction form
    4,803.68/7,215.24 = 2,859.68/x
  3. Step 3: Cross multiply
    4,803.68x = 7,215.24 × 2,859.68
  4. Step 4: Simplify right side
    4,803.68x = 20,633,277.52
  5. Step 5: Solve for x
    x = 20,633,277.52/4,803.68
  6. Step 6: Final answer
    x = 4,295.31

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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.