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Finding the Fourth Proportional to 3,574.26, 5,361.42 and 977.22

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Solution

The fourth proportional to 3,574.26, 5,361.42 and 977.22 is: 1,465.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.26 : 5,361.42 = 977.22 : x
  2. Step 2: Convert to fraction form
    3,574.26/5,361.42 = 977.22/x
  3. Step 3: Cross multiply
    3,574.26x = 5,361.42 × 977.22
  4. Step 4: Simplify right side
    3,574.26x = 5,239,286.85
  5. Step 5: Solve for x
    x = 5,239,286.85/3,574.26
  6. Step 6: Final answer
    x = 1,465.84

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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.