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Finding the Fourth Proportional to 5,758.02, 7,946.10 and 3,274.02

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Solution

The fourth proportional to 5,758.02, 7,946.10 and 3,274.02 is: 4,518.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758.02 : 7,946.10 = 3,274.02 : x
  2. Step 2: Convert to fraction form
    5,758.02/7,946.10 = 3,274.02/x
  3. Step 3: Cross multiply
    5,758.02x = 7,946.10 × 3,274.02
  4. Step 4: Simplify right side
    5,758.02x = 26,015,690.32
  5. Step 5: Solve for x
    x = 26,015,690.32/5,758.02
  6. Step 6: Final answer
    x = 4,518.17

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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.