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Finding the Fourth Proportional to 6,357.88, 8,770.24 and 3,705

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Solution

The fourth proportional to 6,357.88, 8,770.24 and 3,705 is: 5,110.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.88 : 8,770.24 = 3,705 : x
  2. Step 2: Convert to fraction form
    6,357.88/8,770.24 = 3,705/x
  3. Step 3: Cross multiply
    6,357.88x = 8,770.24 × 3,705
  4. Step 4: Simplify right side
    6,357.88x = 32,493,739.20
  5. Step 5: Solve for x
    x = 32,493,739.20/6,357.88
  6. Step 6: Final answer
    x = 5,110.78

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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.