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Finding the Fourth Proportional to 5,574.02, 8,361.02 and 1,678.42

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Solution

The fourth proportional to 5,574.02, 8,361.02 and 1,678.42 is: 2,517.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574.02 : 8,361.02 = 1,678.42 : x
  2. Step 2: Convert to fraction form
    5,574.02/8,361.02 = 1,678.42/x
  3. Step 3: Cross multiply
    5,574.02x = 8,361.02 × 1,678.42
  4. Step 4: Simplify right side
    5,574.02x = 14,033,317.84
  5. Step 5: Solve for x
    x = 14,033,317.84/5,574.02
  6. Step 6: Final answer
    x = 2,517.63

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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.