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Finding the Fourth Proportional to 5,574.12, 7,692.16 and 3,056.22

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Solution

The fourth proportional to 5,574.12, 7,692.16 and 3,056.22 is: 4,217.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574.12 : 7,692.16 = 3,056.22 : x
  2. Step 2: Convert to fraction form
    5,574.12/7,692.16 = 3,056.22/x
  3. Step 3: Cross multiply
    5,574.12x = 7,692.16 × 3,056.22
  4. Step 4: Simplify right side
    5,574.12x = 23,508,933.24
  5. Step 5: Solve for x
    x = 23,508,933.24/5,574.12
  6. Step 6: Final answer
    x = 4,217.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.