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Finding the Fourth Proportional to 5,077.64, 7,004.66 and 3,399.42

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Solution

The fourth proportional to 5,077.64, 7,004.66 and 3,399.42 is: 4,689.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,077.64 : 7,004.66 = 3,399.42 : x
  2. Step 2: Convert to fraction form
    5,077.64/7,004.66 = 3,399.42/x
  3. Step 3: Cross multiply
    5,077.64x = 7,004.66 × 3,399.42
  4. Step 4: Simplify right side
    5,077.64x = 23,811,781.30
  5. Step 5: Solve for x
    x = 23,811,781.30/5,077.64
  6. Step 6: Final answer
    x = 4,689.54

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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.