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Finding the Fourth Proportional to 3,698.88, 5,126.52 and 3,629.76

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Solution

The fourth proportional to 3,698.88, 5,126.52 and 3,629.76 is: 5,030.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.88 : 5,126.52 = 3,629.76 : x
  2. Step 2: Convert to fraction form
    3,698.88/5,126.52 = 3,629.76/x
  3. Step 3: Cross multiply
    3,698.88x = 5,126.52 × 3,629.76
  4. Step 4: Simplify right side
    3,698.88x = 18,608,037.24
  5. Step 5: Solve for x
    x = 18,608,037.24/3,698.88
  6. Step 6: Final answer
    x = 5,030.72

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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.