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Finding the Fourth Proportional to 4,360.68, 6,542.76 and 1,763.82

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Solution

The fourth proportional to 4,360.68, 6,542.76 and 1,763.82 is: 2,646.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,360.68 : 6,542.76 = 1,763.82 : x
  2. Step 2: Convert to fraction form
    4,360.68/6,542.76 = 1,763.82/x
  3. Step 3: Cross multiply
    4,360.68x = 6,542.76 × 1,763.82
  4. Step 4: Simplify right side
    4,360.68x = 11,540,250.94
  5. Step 5: Solve for x
    x = 11,540,250.94/4,360.68
  6. Step 6: Final answer
    x = 2,646.43

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