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Finding the Fourth Proportional to 3,875.69, 5,775.03 and 3,687.41

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Solution

The fourth proportional to 3,875.69, 5,775.03 and 3,687.41 is: 5,494.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.69 : 5,775.03 = 3,687.41 : x
  2. Step 2: Convert to fraction form
    3,875.69/5,775.03 = 3,687.41/x
  3. Step 3: Cross multiply
    3,875.69x = 5,775.03 × 3,687.41
  4. Step 4: Simplify right side
    3,875.69x = 21,294,874.50
  5. Step 5: Solve for x
    x = 21,294,874.50/3,875.69
  6. Step 6: Final answer
    x = 5,494.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.