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Finding the Fourth Proportional to 5,758.08, 7,946 and 3,274.08

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Solution

The fourth proportional to 5,758.08, 7,946 and 3,274.08 is: 4,518.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758.08 : 7,946 = 3,274.08 : x
  2. Step 2: Convert to fraction form
    5,758.08/7,946 = 3,274.08/x
  3. Step 3: Cross multiply
    5,758.08x = 7,946 × 3,274.08
  4. Step 4: Simplify right side
    5,758.08x = 26,015,839.68
  5. Step 5: Solve for x
    x = 26,015,839.68/5,758.08
  6. Step 6: Final answer
    x = 4,518.14

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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.