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Finding the Fourth Proportional to 5,665.46, 8,500.06 and 3,032.38

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Solution

The fourth proportional to 5,665.46, 8,500.06 and 3,032.38 is: 4,549.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.46 : 8,500.06 = 3,032.38 : x
  2. Step 2: Convert to fraction form
    5,665.46/8,500.06 = 3,032.38/x
  3. Step 3: Cross multiply
    5,665.46x = 8,500.06 × 3,032.38
  4. Step 4: Simplify right side
    5,665.46x = 25,775,369.44
  5. Step 5: Solve for x
    x = 25,775,369.44/5,665.46
  6. Step 6: Final answer
    x = 4,549.56

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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.