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Finding the Fourth Proportional to 4,151.68, 6,227.44 and 1,686.40

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Solution

The fourth proportional to 4,151.68, 6,227.44 and 1,686.40 is: 2,529.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,151.68 : 6,227.44 = 1,686.40 : x
  2. Step 2: Convert to fraction form
    4,151.68/6,227.44 = 1,686.40/x
  3. Step 3: Cross multiply
    4,151.68x = 6,227.44 × 1,686.40
  4. Step 4: Simplify right side
    4,151.68x = 10,501,954.82
  5. Step 5: Solve for x
    x = 10,501,954.82/4,151.68
  6. Step 6: Final answer
    x = 2,529.57

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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.