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Finding the Fourth Proportional to 3,692.46, 5,534.43 and 1,498.78

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Solution

The fourth proportional to 3,692.46, 5,534.43 and 1,498.78 is: 2,246.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.46 : 5,534.43 = 1,498.78 : x
  2. Step 2: Convert to fraction form
    3,692.46/5,534.43 = 1,498.78/x
  3. Step 3: Cross multiply
    3,692.46x = 5,534.43 × 1,498.78
  4. Step 4: Simplify right side
    3,692.46x = 8,294,893.00
  5. Step 5: Solve for x
    x = 8,294,893.00/3,692.46
  6. Step 6: Final answer
    x = 2,246.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.