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Finding the Fourth Proportional to 3,574.32, 4,906.26 and 3,172.56

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Solution

The fourth proportional to 3,574.32, 4,906.26 and 3,172.56 is: 4,354.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.32 : 4,906.26 = 3,172.56 : x
  2. Step 2: Convert to fraction form
    3,574.32/4,906.26 = 3,172.56/x
  3. Step 3: Cross multiply
    3,574.32x = 4,906.26 × 3,172.56
  4. Step 4: Simplify right side
    3,574.32x = 15,565,404.23
  5. Step 5: Solve for x
    x = 15,565,404.23/3,574.32
  6. Step 6: Final answer
    x = 4,354.79

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.