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Finding the Fourth Proportional to 5,199, 7,174.62 and 2,991

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Solution

The fourth proportional to 5,199, 7,174.62 and 2,991 is: 4,127.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199 : 7,174.62 = 2,991 : x
  2. Step 2: Convert to fraction form
    5,199/7,174.62 = 2,991/x
  3. Step 3: Cross multiply
    5,199x = 7,174.62 × 2,991
  4. Step 4: Simplify right side
    5,199x = 21,459,288.42
  5. Step 5: Solve for x
    x = 21,459,288.42/5,199
  6. Step 6: Final answer
    x = 4,127.58

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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.