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Finding the Fourth Proportional to 5,669.24, 7,823.56 and 3,185.24

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Solution

The fourth proportional to 5,669.24, 7,823.56 and 3,185.24 is: 4,395.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.24 : 7,823.56 = 3,185.24 : x
  2. Step 2: Convert to fraction form
    5,669.24/7,823.56 = 3,185.24/x
  3. Step 3: Cross multiply
    5,669.24x = 7,823.56 × 3,185.24
  4. Step 4: Simplify right side
    5,669.24x = 24,919,916.25
  5. Step 5: Solve for x
    x = 24,919,916.25/5,669.24
  6. Step 6: Final answer
    x = 4,395.64

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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.