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Finding the Fourth Proportional to 3,752.40, 5,200.20 and 3,699.56

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Solution

The fourth proportional to 3,752.40, 5,200.20 and 3,699.56 is: 5,126.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.40 : 5,200.20 = 3,699.56 : x
  2. Step 2: Convert to fraction form
    3,752.40/5,200.20 = 3,699.56/x
  3. Step 3: Cross multiply
    3,752.40x = 5,200.20 × 3,699.56
  4. Step 4: Simplify right side
    3,752.40x = 19,238,425.91
  5. Step 5: Solve for x
    x = 19,238,425.91/3,752.40
  6. Step 6: Final answer
    x = 5,126.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.