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Finding the Fourth Proportional to 5,274.10, 7,911.22 and 1,378.50

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Solution

The fourth proportional to 5,274.10, 7,911.22 and 1,378.50 is: 2,067.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.10 : 7,911.22 = 1,378.50 : x
  2. Step 2: Convert to fraction form
    5,274.10/7,911.22 = 1,378.50/x
  3. Step 3: Cross multiply
    5,274.10x = 7,911.22 × 1,378.50
  4. Step 4: Simplify right side
    5,274.10x = 10,905,613.32
  5. Step 5: Solve for x
    x = 10,905,613.32/5,274.10
  6. Step 6: Final answer
    x = 2,067.77

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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.