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Finding the Fourth Proportional to 3,574.30, 5,361.72 and 1,109.30

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Solution

The fourth proportional to 3,574.30, 5,361.72 and 1,109.30 is: 1,664.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.30 : 5,361.72 = 1,109.30 : x
  2. Step 2: Convert to fraction form
    3,574.30/5,361.72 = 1,109.30/x
  3. Step 3: Cross multiply
    3,574.30x = 5,361.72 × 1,109.30
  4. Step 4: Simplify right side
    3,574.30x = 5,947,728.15
  5. Step 5: Solve for x
    x = 5,947,728.15/3,574.30
  6. Step 6: Final answer
    x = 1,664.02

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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.