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Finding the Fourth Proportional to 3,692.92, 5,538.83 and 1,501.64

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Solution

The fourth proportional to 3,692.92, 5,538.83 and 1,501.64 is: 2,252.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.92 : 5,538.83 = 1,501.64 : x
  2. Step 2: Convert to fraction form
    3,692.92/5,538.83 = 1,501.64/x
  3. Step 3: Cross multiply
    3,692.92x = 5,538.83 × 1,501.64
  4. Step 4: Simplify right side
    3,692.92x = 8,317,328.68
  5. Step 5: Solve for x
    x = 8,317,328.68/3,692.92
  6. Step 6: Final answer
    x = 2,252.24

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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.