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Finding the Fourth Proportional to 4,687.56, 7,031.58 and 1,766.28

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Solution

The fourth proportional to 4,687.56, 7,031.58 and 1,766.28 is: 2,649.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,687.56 : 7,031.58 = 1,766.28 : x
  2. Step 2: Convert to fraction form
    4,687.56/7,031.58 = 1,766.28/x
  3. Step 3: Cross multiply
    4,687.56x = 7,031.58 × 1,766.28
  4. Step 4: Simplify right side
    4,687.56x = 12,419,739.12
  5. Step 5: Solve for x
    x = 12,419,739.12/4,687.56
  6. Step 6: Final answer
    x = 2,649.51

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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.