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Finding the Fourth Proportional to 3,692.83, 5,540.15 and 1,095.77

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Solution

The fourth proportional to 3,692.83, 5,540.15 and 1,095.77 is: 1,643.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.83 : 5,540.15 = 1,095.77 : x
  2. Step 2: Convert to fraction form
    3,692.83/5,540.15 = 1,095.77/x
  3. Step 3: Cross multiply
    3,692.83x = 5,540.15 × 1,095.77
  4. Step 4: Simplify right side
    3,692.83x = 6,070,730.17
  5. Step 5: Solve for x
    x = 6,070,730.17/3,692.83
  6. Step 6: Final answer
    x = 1,643.92

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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.