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Finding the Fourth Proportional to 5,635, 8,446.68 and 2,350

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Solution

The fourth proportional to 5,635, 8,446.68 and 2,350 is: 3,522.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635 : 8,446.68 = 2,350 : x
  2. Step 2: Convert to fraction form
    5,635/8,446.68 = 2,350/x
  3. Step 3: Cross multiply
    5,635x = 8,446.68 × 2,350
  4. Step 4: Simplify right side
    5,635x = 19,849,698
  5. Step 5: Solve for x
    x = 19,849,698/5,635
  6. Step 6: Final answer
    x = 3,522.57

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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.