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Finding the Fourth Proportional to 5,574.84, 7,692.72 and 3,184.62

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Solution

The fourth proportional to 5,574.84, 7,692.72 and 3,184.62 is: 4,394.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574.84 : 7,692.72 = 3,184.62 : x
  2. Step 2: Convert to fraction form
    5,574.84/7,692.72 = 3,184.62/x
  3. Step 3: Cross multiply
    5,574.84x = 7,692.72 × 3,184.62
  4. Step 4: Simplify right side
    5,574.84x = 24,498,389.97
  5. Step 5: Solve for x
    x = 24,498,389.97/5,574.84
  6. Step 6: Final answer
    x = 4,394.46

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1.5x scale

Why These Related Problems?

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