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Finding the Fourth Proportional to 5,205.74, 7,184.30 and 3,434.27

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Solution

The fourth proportional to 5,205.74, 7,184.30 and 3,434.27 is: 4,739.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.74 : 7,184.30 = 3,434.27 : x
  2. Step 2: Convert to fraction form
    5,205.74/7,184.30 = 3,434.27/x
  3. Step 3: Cross multiply
    5,205.74x = 7,184.30 × 3,434.27
  4. Step 4: Simplify right side
    5,205.74x = 24,672,833.49
  5. Step 5: Solve for x
    x = 24,672,833.49/5,205.74
  6. Step 6: Final answer
    x = 4,739.54

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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.