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Finding the Fourth Proportional to 4,758.56, 6,569.70 and 3,105.44

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Solution

The fourth proportional to 4,758.56, 6,569.70 and 3,105.44 is: 4,287.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,758.56 : 6,569.70 = 3,105.44 : x
  2. Step 2: Convert to fraction form
    4,758.56/6,569.70 = 3,105.44/x
  3. Step 3: Cross multiply
    4,758.56x = 6,569.70 × 3,105.44
  4. Step 4: Simplify right side
    4,758.56x = 20,401,813.95
  5. Step 5: Solve for x
    x = 20,401,813.95/4,758.56
  6. Step 6: Final answer
    x = 4,287.39

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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.