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Finding the Fourth Proportional to 3,710.91, 5,563.98 and 1,835.49

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Solution

The fourth proportional to 3,710.91, 5,563.98 and 1,835.49 is: 2,752.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.91 : 5,563.98 = 1,835.49 : x
  2. Step 2: Convert to fraction form
    3,710.91/5,563.98 = 1,835.49/x
  3. Step 3: Cross multiply
    3,710.91x = 5,563.98 × 1,835.49
  4. Step 4: Simplify right side
    3,710.91x = 10,212,629.65
  5. Step 5: Solve for x
    x = 10,212,629.65/3,710.91
  6. Step 6: Final answer
    x = 2,752.06

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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.