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Finding the Fourth Proportional to 4,555.72, 6,823.99 and 2,092.60

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Solution

The fourth proportional to 4,555.72, 6,823.99 and 2,092.60 is: 3,134.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,555.72 : 6,823.99 = 2,092.60 : x
  2. Step 2: Convert to fraction form
    4,555.72/6,823.99 = 2,092.60/x
  3. Step 3: Cross multiply
    4,555.72x = 6,823.99 × 2,092.60
  4. Step 4: Simplify right side
    4,555.72x = 14,279,881.47
  5. Step 5: Solve for x
    x = 14,279,881.47/4,555.72
  6. Step 6: Final answer
    x = 3,134.49

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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.