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Finding the Fourth Proportional to 3,797.93, 5,696.47 and 1,024.88

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Solution

The fourth proportional to 3,797.93, 5,696.47 and 1,024.88 is: 1,537.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.93 : 5,696.47 = 1,024.88 : x
  2. Step 2: Convert to fraction form
    3,797.93/5,696.47 = 1,024.88/x
  3. Step 3: Cross multiply
    3,797.93x = 5,696.47 × 1,024.88
  4. Step 4: Simplify right side
    3,797.93x = 5,838,198.17
  5. Step 5: Solve for x
    x = 5,838,198.17/3,797.93
  6. Step 6: Final answer
    x = 1,537.21

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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.