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Finding the Fourth Proportional to 5,928.48, 8,184.54 and 3,692.28

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Solution

The fourth proportional to 5,928.48, 8,184.54 and 3,692.28 is: 5,097.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,928.48 : 8,184.54 = 3,692.28 : x
  2. Step 2: Convert to fraction form
    5,928.48/8,184.54 = 3,692.28/x
  3. Step 3: Cross multiply
    5,928.48x = 8,184.54 × 3,692.28
  4. Step 4: Simplify right side
    5,928.48x = 30,219,613.35
  5. Step 5: Solve for x
    x = 30,219,613.35/5,928.48
  6. Step 6: Final answer
    x = 5,097.36

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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.