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Finding the Fourth Proportional to 3,700.36, 5,510.33 and 3,659.32

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Solution

The fourth proportional to 3,700.36, 5,510.33 and 3,659.32 is: 5,449.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.36 : 5,510.33 = 3,659.32 : x
  2. Step 2: Convert to fraction form
    3,700.36/5,510.33 = 3,659.32/x
  3. Step 3: Cross multiply
    3,700.36x = 5,510.33 × 3,659.32
  4. Step 4: Simplify right side
    3,700.36x = 20,164,060.78
  5. Step 5: Solve for x
    x = 20,164,060.78/3,700.36
  6. Step 6: Final answer
    x = 5,449.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.