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Finding the Fourth Proportional to 5,669.74, 7,824.14 and 3,151.81

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Solution

The fourth proportional to 5,669.74, 7,824.14 and 3,151.81 is: 4,349.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.74 : 7,824.14 = 3,151.81 : x
  2. Step 2: Convert to fraction form
    5,669.74/7,824.14 = 3,151.81/x
  3. Step 3: Cross multiply
    5,669.74x = 7,824.14 × 3,151.81
  4. Step 4: Simplify right side
    5,669.74x = 24,660,202.69
  5. Step 5: Solve for x
    x = 24,660,202.69/5,669.74
  6. Step 6: Final answer
    x = 4,349.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.