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Finding the Fourth Proportional to 3,692.62, 5,557.52 and 2,773

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Solution

The fourth proportional to 3,692.62, 5,557.52 and 2,773 is: 4,173.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.62 : 5,557.52 = 2,773 : x
  2. Step 2: Convert to fraction form
    3,692.62/5,557.52 = 2,773/x
  3. Step 3: Cross multiply
    3,692.62x = 5,557.52 × 2,773
  4. Step 4: Simplify right side
    3,692.62x = 15,411,002.96
  5. Step 5: Solve for x
    x = 15,411,002.96/3,692.62
  6. Step 6: Final answer
    x = 4,173.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.