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Finding the Fourth Proportional to 3,693.84, 5,095.84 and 2,433.24

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Solution

The fourth proportional to 3,693.84, 5,095.84 and 2,433.24 is: 3,356.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.84 : 5,095.84 = 2,433.24 : x
  2. Step 2: Convert to fraction form
    3,693.84/5,095.84 = 2,433.24/x
  3. Step 3: Cross multiply
    3,693.84x = 5,095.84 × 2,433.24
  4. Step 4: Simplify right side
    3,693.84x = 12,399,401.72
  5. Step 5: Solve for x
    x = 12,399,401.72/3,693.84
  6. Step 6: Final answer
    x = 3,356.78

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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.