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Finding the Fourth Proportional to 4,817, 6,647.46 and 2,609

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Solution

The fourth proportional to 4,817, 6,647.46 and 2,609 is: 3,600.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,817 : 6,647.46 = 2,609 : x
  2. Step 2: Convert to fraction form
    4,817/6,647.46 = 2,609/x
  3. Step 3: Cross multiply
    4,817x = 6,647.46 × 2,609
  4. Step 4: Simplify right side
    4,817x = 17,343,223.14
  5. Step 5: Solve for x
    x = 17,343,223.14/4,817
  6. Step 6: Final answer
    x = 3,600.42

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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.