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Finding the Fourth Proportional to 3,574.30, 5,361.38 and 977.22

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Solution

The fourth proportional to 3,574.30, 5,361.38 and 977.22 is: 1,465.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.30 : 5,361.38 = 977.22 : x
  2. Step 2: Convert to fraction form
    3,574.30/5,361.38 = 977.22/x
  3. Step 3: Cross multiply
    3,574.30x = 5,361.38 × 977.22
  4. Step 4: Simplify right side
    3,574.30x = 5,239,247.76
  5. Step 5: Solve for x
    x = 5,239,247.76/3,574.30
  6. Step 6: Final answer
    x = 1,465.81

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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.