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Finding the Fourth Proportional to 4,706.07, 6,494.59 and 2,817.29

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Solution

The fourth proportional to 4,706.07, 6,494.59 and 2,817.29 is: 3,887.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.07 : 6,494.59 = 2,817.29 : x
  2. Step 2: Convert to fraction form
    4,706.07/6,494.59 = 2,817.29/x
  3. Step 3: Cross multiply
    4,706.07x = 6,494.59 × 2,817.29
  4. Step 4: Simplify right side
    4,706.07x = 18,297,161.38
  5. Step 5: Solve for x
    x = 18,297,161.38/4,706.07
  6. Step 6: Final answer
    x = 3,887.99

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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.