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Finding the Fourth Proportional to 6,505.62, 8,977.68 and 3,521.39

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Solution

The fourth proportional to 6,505.62, 8,977.68 and 3,521.39 is: 4,859.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.62 : 8,977.68 = 3,521.39 : x
  2. Step 2: Convert to fraction form
    6,505.62/8,977.68 = 3,521.39/x
  3. Step 3: Cross multiply
    6,505.62x = 8,977.68 × 3,521.39
  4. Step 4: Simplify right side
    6,505.62x = 31,613,912.58
  5. Step 5: Solve for x
    x = 31,613,912.58/6,505.62
  6. Step 6: Final answer
    x = 4,859.48

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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.