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Finding the Fourth Proportional to 4,462.84, 6,692.52 and 1,540.36

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Solution

The fourth proportional to 4,462.84, 6,692.52 and 1,540.36 is: 2,309.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,462.84 : 6,692.52 = 1,540.36 : x
  2. Step 2: Convert to fraction form
    4,462.84/6,692.52 = 1,540.36/x
  3. Step 3: Cross multiply
    4,462.84x = 6,692.52 × 1,540.36
  4. Step 4: Simplify right side
    4,462.84x = 10,308,890.11
  5. Step 5: Solve for x
    x = 10,308,890.11/4,462.84
  6. Step 6: Final answer
    x = 2,309.94

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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.