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Finding the Fourth Proportional to 3,682.39, 5,076.71 and 2,501.41

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Solution

The fourth proportional to 3,682.39, 5,076.71 and 2,501.41 is: 3,448.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.39 : 5,076.71 = 2,501.41 : x
  2. Step 2: Convert to fraction form
    3,682.39/5,076.71 = 2,501.41/x
  3. Step 3: Cross multiply
    3,682.39x = 5,076.71 × 2,501.41
  4. Step 4: Simplify right side
    3,682.39x = 12,698,895.27
  5. Step 5: Solve for x
    x = 12,698,895.27/3,682.39
  6. Step 6: Final answer
    x = 3,448.55

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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.