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Finding the Fourth Proportional to 3,782.98, 5,674.47 and 1,835.47

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Solution

The fourth proportional to 3,782.98, 5,674.47 and 1,835.47 is: 2,753.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.98 : 5,674.47 = 1,835.47 : x
  2. Step 2: Convert to fraction form
    3,782.98/5,674.47 = 1,835.47/x
  3. Step 3: Cross multiply
    3,782.98x = 5,674.47 × 1,835.47
  4. Step 4: Simplify right side
    3,782.98x = 10,415,319.45
  5. Step 5: Solve for x
    x = 10,415,319.45/3,782.98
  6. Step 6: Final answer
    x = 2,753.21

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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.