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Finding the Fourth Proportional to 3,874.54, 5,808 and 2,483.92

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Solution

The fourth proportional to 3,874.54, 5,808 and 2,483.92 is: 3,723.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.54 : 5,808 = 2,483.92 : x
  2. Step 2: Convert to fraction form
    3,874.54/5,808 = 2,483.92/x
  3. Step 3: Cross multiply
    3,874.54x = 5,808 × 2,483.92
  4. Step 4: Simplify right side
    3,874.54x = 14,426,607.36
  5. Step 5: Solve for x
    x = 14,426,607.36/3,874.54
  6. Step 6: Final answer
    x = 3,723.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.