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Finding the Fourth Proportional to 4,269.69, 5,892.75 and 2,502

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Solution

The fourth proportional to 4,269.69, 5,892.75 and 2,502 is: 3,453.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,269.69 : 5,892.75 = 2,502 : x
  2. Step 2: Convert to fraction form
    4,269.69/5,892.75 = 2,502/x
  3. Step 3: Cross multiply
    4,269.69x = 5,892.75 × 2,502
  4. Step 4: Simplify right side
    4,269.69x = 14,743,660.50
  5. Step 5: Solve for x
    x = 14,743,660.50/4,269.69
  6. Step 6: Final answer
    x = 3,453.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.