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Finding the Fourth Proportional to 4,706.39, 6,495.12 and 2,717.07

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Solution

The fourth proportional to 4,706.39, 6,495.12 and 2,717.07 is: 3,749.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.39 : 6,495.12 = 2,717.07 : x
  2. Step 2: Convert to fraction form
    4,706.39/6,495.12 = 2,717.07/x
  3. Step 3: Cross multiply
    4,706.39x = 6,495.12 × 2,717.07
  4. Step 4: Simplify right side
    4,706.39x = 17,647,695.70
  5. Step 5: Solve for x
    x = 17,647,695.70/4,706.39
  6. Step 6: Final answer
    x = 3,749.73

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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.