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Finding the Fourth Proportional to 5,199.93, 7,799.97 and 1,304.34

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Solution

The fourth proportional to 5,199.93, 7,799.97 and 1,304.34 is: 1,956.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.93 : 7,799.97 = 1,304.34 : x
  2. Step 2: Convert to fraction form
    5,199.93/7,799.97 = 1,304.34/x
  3. Step 3: Cross multiply
    5,199.93x = 7,799.97 × 1,304.34
  4. Step 4: Simplify right side
    5,199.93x = 10,173,812.87
  5. Step 5: Solve for x
    x = 10,173,812.87/5,199.93
  6. Step 6: Final answer
    x = 1,956.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.