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Finding the Fourth Proportional to 3,700, 5,552.73 and 1,752.20

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Solution

The fourth proportional to 3,700, 5,552.73 and 1,752.20 is: 2,629.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700 : 5,552.73 = 1,752.20 : x
  2. Step 2: Convert to fraction form
    3,700/5,552.73 = 1,752.20/x
  3. Step 3: Cross multiply
    3,700x = 5,552.73 × 1,752.20
  4. Step 4: Simplify right side
    3,700x = 9,729,493.51
  5. Step 5: Solve for x
    x = 9,729,493.51/3,700
  6. Step 6: Final answer
    x = 2,629.59

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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.