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Finding the Fourth Proportional to 4,367.40, 6,548.22 and 1,767.72

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Solution

The fourth proportional to 4,367.40, 6,548.22 and 1,767.72 is: 2,650.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,367.40 : 6,548.22 = 1,767.72 : x
  2. Step 2: Convert to fraction form
    4,367.40/6,548.22 = 1,767.72/x
  3. Step 3: Cross multiply
    4,367.40x = 6,548.22 × 1,767.72
  4. Step 4: Simplify right side
    4,367.40x = 11,575,419.46
  5. Step 5: Solve for x
    x = 11,575,419.46/4,367.40
  6. Step 6: Final answer
    x = 2,650.41

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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.