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Finding the Fourth Proportional to 5,274.22, 7,911.57 and 1,764.52

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Solution

The fourth proportional to 5,274.22, 7,911.57 and 1,764.52 is: 2,646.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.22 : 7,911.57 = 1,764.52 : x
  2. Step 2: Convert to fraction form
    5,274.22/7,911.57 = 1,764.52/x
  3. Step 3: Cross multiply
    5,274.22x = 7,911.57 × 1,764.52
  4. Step 4: Simplify right side
    5,274.22x = 13,960,123.50
  5. Step 5: Solve for x
    x = 13,960,123.50/5,274.22
  6. Step 6: Final answer
    x = 2,646.86

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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.