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Finding the Fourth Proportional to 3,574.74, 5,356.27 and 3,438.06

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Solution

The fourth proportional to 3,574.74, 5,356.27 and 3,438.06 is: 5,151.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.74 : 5,356.27 = 3,438.06 : x
  2. Step 2: Convert to fraction form
    3,574.74/5,356.27 = 3,438.06/x
  3. Step 3: Cross multiply
    3,574.74x = 5,356.27 × 3,438.06
  4. Step 4: Simplify right side
    3,574.74x = 18,415,161.85
  5. Step 5: Solve for x
    x = 18,415,161.85/3,574.74
  6. Step 6: Final answer
    x = 5,151.46

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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.