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Finding the Fourth Proportional to 3,692.78, 5,539.17 and 1,501

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Solution

The fourth proportional to 3,692.78, 5,539.17 and 1,501 is: 2,251.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.78 : 5,539.17 = 1,501 : x
  2. Step 2: Convert to fraction form
    3,692.78/5,539.17 = 1,501/x
  3. Step 3: Cross multiply
    3,692.78x = 5,539.17 × 1,501
  4. Step 4: Simplify right side
    3,692.78x = 8,314,294.17
  5. Step 5: Solve for x
    x = 8,314,294.17/3,692.78
  6. Step 6: Final answer
    x = 2,251.50

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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.