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Finding the Fourth Proportional to 3,767.68, 5,199.04 and 2,983.68

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Solution

The fourth proportional to 3,767.68, 5,199.04 and 2,983.68 is: 4,117.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.68 : 5,199.04 = 2,983.68 : x
  2. Step 2: Convert to fraction form
    3,767.68/5,199.04 = 2,983.68/x
  3. Step 3: Cross multiply
    3,767.68x = 5,199.04 × 2,983.68
  4. Step 4: Simplify right side
    3,767.68x = 15,512,271.67
  5. Step 5: Solve for x
    x = 15,512,271.67/3,767.68
  6. Step 6: Final answer
    x = 4,117.19

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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.