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Finding the Fourth Proportional to 4,706.39, 7,064.13 and 2,516.66

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Solution

The fourth proportional to 4,706.39, 7,064.13 and 2,516.66 is: 3,777.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.39 : 7,064.13 = 2,516.66 : x
  2. Step 2: Convert to fraction form
    4,706.39/7,064.13 = 2,516.66/x
  3. Step 3: Cross multiply
    4,706.39x = 7,064.13 × 2,516.66
  4. Step 4: Simplify right side
    4,706.39x = 17,777,978.09
  5. Step 5: Solve for x
    x = 17,777,978.09/4,706.39
  6. Step 6: Final answer
    x = 3,777.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.