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Finding the Fourth Proportional to 4,564, 6,331.96 and 4,520.80

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Solution

The fourth proportional to 4,564, 6,331.96 and 4,520.80 is: 6,272.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564 : 6,331.96 = 4,520.80 : x
  2. Step 2: Convert to fraction form
    4,564/6,331.96 = 4,520.80/x
  3. Step 3: Cross multiply
    4,564x = 6,331.96 × 4,520.80
  4. Step 4: Simplify right side
    4,564x = 28,625,524.77
  5. Step 5: Solve for x
    x = 28,625,524.77/4,564
  6. Step 6: Final answer
    x = 6,272.03

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.