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Finding the Fourth Proportional to 4,797.87, 7,197.80 and 2,024.55

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Solution

The fourth proportional to 4,797.87, 7,197.80 and 2,024.55 is: 3,037.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,797.87 : 7,197.80 = 2,024.55 : x
  2. Step 2: Convert to fraction form
    4,797.87/7,197.80 = 2,024.55/x
  3. Step 3: Cross multiply
    4,797.87x = 7,197.80 × 2,024.55
  4. Step 4: Simplify right side
    4,797.87x = 14,572,295.87
  5. Step 5: Solve for x
    x = 14,572,295.87/4,797.87
  6. Step 6: Final answer
    x = 3,037.24

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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.