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Finding the Fourth Proportional to 5,608.62, 8,412.90 and 1,713

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Solution

The fourth proportional to 5,608.62, 8,412.90 and 1,713 is: 2,569.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,608.62 : 8,412.90 = 1,713 : x
  2. Step 2: Convert to fraction form
    5,608.62/8,412.90 = 1,713/x
  3. Step 3: Cross multiply
    5,608.62x = 8,412.90 × 1,713
  4. Step 4: Simplify right side
    5,608.62x = 14,411,297.70
  5. Step 5: Solve for x
    x = 14,411,297.70/5,608.62
  6. Step 6: Final answer
    x = 2,569.49

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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.