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Finding the Fourth Proportional to 5,766.08, 7,956 and 3,669.44

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Solution

The fourth proportional to 5,766.08, 7,956 and 3,669.44 is: 5,063.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.08 : 7,956 = 3,669.44 : x
  2. Step 2: Convert to fraction form
    5,766.08/7,956 = 3,669.44/x
  3. Step 3: Cross multiply
    5,766.08x = 7,956 × 3,669.44
  4. Step 4: Simplify right side
    5,766.08x = 29,194,064.64
  5. Step 5: Solve for x
    x = 29,194,064.64/5,766.08
  6. Step 6: Final answer
    x = 5,063.07

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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.