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Finding the Fourth Proportional to 3,847.02, 5,307.68 and 2,168.16

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Solution

The fourth proportional to 3,847.02, 5,307.68 and 2,168.16 is: 2,991.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.02 : 5,307.68 = 2,168.16 : x
  2. Step 2: Convert to fraction form
    3,847.02/5,307.68 = 2,168.16/x
  3. Step 3: Cross multiply
    3,847.02x = 5,307.68 × 2,168.16
  4. Step 4: Simplify right side
    3,847.02x = 11,507,899.47
  5. Step 5: Solve for x
    x = 11,507,899.47/3,847.02
  6. Step 6: Final answer
    x = 2,991.38

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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.