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Finding the Fourth Proportional to 3,517, 4,854 and 2,024.83

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Solution

The fourth proportional to 3,517, 4,854 and 2,024.83 is: 2,794.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,517 : 4,854 = 2,024.83 : x
  2. Step 2: Convert to fraction form
    3,517/4,854 = 2,024.83/x
  3. Step 3: Cross multiply
    3,517x = 4,854 × 2,024.83
  4. Step 4: Simplify right side
    3,517x = 9,828,524.82
  5. Step 5: Solve for x
    x = 9,828,524.82/3,517
  6. Step 6: Final answer
    x = 2,794.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.