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Finding the Fourth Proportional to 3,874.66, 5,348.23 and 2,477.41

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Solution

The fourth proportional to 3,874.66, 5,348.23 and 2,477.41 is: 3,419.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.66 : 5,348.23 = 2,477.41 : x
  2. Step 2: Convert to fraction form
    3,874.66/5,348.23 = 2,477.41/x
  3. Step 3: Cross multiply
    3,874.66x = 5,348.23 × 2,477.41
  4. Step 4: Simplify right side
    3,874.66x = 13,249,738.92
  5. Step 5: Solve for x
    x = 13,249,738.92/3,874.66
  6. Step 6: Final answer
    x = 3,419.59

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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.