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Finding the Fourth Proportional to 6,337.93, 8,699.57 and 5,613.97

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Solution

The fourth proportional to 6,337.93, 8,699.57 and 5,613.97 is: 7,705.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.93 : 8,699.57 = 5,613.97 : x
  2. Step 2: Convert to fraction form
    6,337.93/8,699.57 = 5,613.97/x
  3. Step 3: Cross multiply
    6,337.93x = 8,699.57 × 5,613.97
  4. Step 4: Simplify right side
    6,337.93x = 48,839,124.99
  5. Step 5: Solve for x
    x = 48,839,124.99/6,337.93
  6. Step 6: Final answer
    x = 7,705.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.