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Finding the Fourth Proportional to 5,669.04, 7,822.14 and 3,310.56

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Solution

The fourth proportional to 5,669.04, 7,822.14 and 3,310.56 is: 4,567.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.04 : 7,822.14 = 3,310.56 : x
  2. Step 2: Convert to fraction form
    5,669.04/7,822.14 = 3,310.56/x
  3. Step 3: Cross multiply
    5,669.04x = 7,822.14 × 3,310.56
  4. Step 4: Simplify right side
    5,669.04x = 25,895,663.80
  5. Step 5: Solve for x
    x = 25,895,663.80/5,669.04
  6. Step 6: Final answer
    x = 4,567.91

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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.