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Finding the Fourth Proportional to 5,706, 8,552.57 and 4,314.83

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Solution

The fourth proportional to 5,706, 8,552.57 and 4,314.83 is: 6,467.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706 : 8,552.57 = 4,314.83 : x
  2. Step 2: Convert to fraction form
    5,706/8,552.57 = 4,314.83/x
  3. Step 3: Cross multiply
    5,706x = 8,552.57 × 4,314.83
  4. Step 4: Simplify right side
    5,706x = 36,902,821.28
  5. Step 5: Solve for x
    x = 36,902,821.28/5,706
  6. Step 6: Final answer
    x = 6,467.37

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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.