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Finding the Fourth Proportional to 4,797.85, 7,197.74 and 2,024.52

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Solution

The fourth proportional to 4,797.85, 7,197.74 and 2,024.52 is: 3,037.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,797.85 : 7,197.74 = 2,024.52 : x
  2. Step 2: Convert to fraction form
    4,797.85/7,197.74 = 2,024.52/x
  3. Step 3: Cross multiply
    4,797.85x = 7,197.74 × 2,024.52
  4. Step 4: Simplify right side
    4,797.85x = 14,571,958.46
  5. Step 5: Solve for x
    x = 14,571,958.46/4,797.85
  6. Step 6: Final answer
    x = 3,037.19

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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.