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Finding the Fourth Proportional to 5,669.66, 7,822.30 and 3,151.29

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Solution

The fourth proportional to 5,669.66, 7,822.30 and 3,151.29 is: 4,347.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.66 : 7,822.30 = 3,151.29 : x
  2. Step 2: Convert to fraction form
    5,669.66/7,822.30 = 3,151.29/x
  3. Step 3: Cross multiply
    5,669.66x = 7,822.30 × 3,151.29
  4. Step 4: Simplify right side
    5,669.66x = 24,650,318.69
  5. Step 5: Solve for x
    x = 24,650,318.69/5,669.66
  6. Step 6: Final answer
    x = 4,347.76

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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.