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Finding the Fourth Proportional to 5,165.56, 7,128.42 and 2,807.68

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Solution

The fourth proportional to 5,165.56, 7,128.42 and 2,807.68 is: 3,874.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.56 : 7,128.42 = 2,807.68 : x
  2. Step 2: Convert to fraction form
    5,165.56/7,128.42 = 2,807.68/x
  3. Step 3: Cross multiply
    5,165.56x = 7,128.42 × 2,807.68
  4. Step 4: Simplify right side
    5,165.56x = 20,014,322.27
  5. Step 5: Solve for x
    x = 20,014,322.27/5,165.56
  6. Step 6: Final answer
    x = 3,874.57

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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.