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Finding the Fourth Proportional to 3,653.52, 5,041.84 and 1,997.52

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Solution

The fourth proportional to 3,653.52, 5,041.84 and 1,997.52 is: 2,756.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.52 : 5,041.84 = 1,997.52 : x
  2. Step 2: Convert to fraction form
    3,653.52/5,041.84 = 1,997.52/x
  3. Step 3: Cross multiply
    3,653.52x = 5,041.84 × 1,997.52
  4. Step 4: Simplify right side
    3,653.52x = 10,071,176.24
  5. Step 5: Solve for x
    x = 10,071,176.24/3,653.52
  6. Step 6: Final answer
    x = 2,756.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.