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Finding the Fourth Proportional to 3,964.02, 5,948.95 and 1,884.02

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Solution

The fourth proportional to 3,964.02, 5,948.95 and 1,884.02 is: 2,827.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.02 : 5,948.95 = 1,884.02 : x
  2. Step 2: Convert to fraction form
    3,964.02/5,948.95 = 1,884.02/x
  3. Step 3: Cross multiply
    3,964.02x = 5,948.95 × 1,884.02
  4. Step 4: Simplify right side
    3,964.02x = 11,207,940.78
  5. Step 5: Solve for x
    x = 11,207,940.78/3,964.02
  6. Step 6: Final answer
    x = 2,827.42

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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.