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Finding the Fourth Proportional to 6,301.50, 8,696.43 and 3,613.17

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Solution

The fourth proportional to 6,301.50, 8,696.43 and 3,613.17 is: 4,986.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.50 : 8,696.43 = 3,613.17 : x
  2. Step 2: Convert to fraction form
    6,301.50/8,696.43 = 3,613.17/x
  3. Step 3: Cross multiply
    6,301.50x = 8,696.43 × 3,613.17
  4. Step 4: Simplify right side
    6,301.50x = 31,421,679.98
  5. Step 5: Solve for x
    x = 31,421,679.98/6,301.50
  6. Step 6: Final answer
    x = 4,986.38

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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.