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Finding the Fourth Proportional to 5,053.53, 6,977.43 and 3,797.49

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Solution

The fourth proportional to 5,053.53, 6,977.43 and 3,797.49 is: 5,243.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,053.53 : 6,977.43 = 3,797.49 : x
  2. Step 2: Convert to fraction form
    5,053.53/6,977.43 = 3,797.49/x
  3. Step 3: Cross multiply
    5,053.53x = 6,977.43 × 3,797.49
  4. Step 4: Simplify right side
    5,053.53x = 26,496,720.65
  5. Step 5: Solve for x
    x = 26,496,720.65/5,053.53
  6. Step 6: Final answer
    x = 5,243.21

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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.