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Finding the Fourth Proportional to 5,574.88, 7,692.17 and 3,783.74

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Solution

The fourth proportional to 5,574.88, 7,692.17 and 3,783.74 is: 5,220.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574.88 : 7,692.17 = 3,783.74 : x
  2. Step 2: Convert to fraction form
    5,574.88/7,692.17 = 3,783.74/x
  3. Step 3: Cross multiply
    5,574.88x = 7,692.17 × 3,783.74
  4. Step 4: Simplify right side
    5,574.88x = 29,105,135.57
  5. Step 5: Solve for x
    x = 29,105,135.57/5,574.88
  6. Step 6: Final answer
    x = 5,220.77

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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.