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Finding the Fourth Proportional to 3,692.71, 5,539.07 and 1,095.63

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Solution

The fourth proportional to 3,692.71, 5,539.07 and 1,095.63 is: 1,643.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.71 : 5,539.07 = 1,095.63 : x
  2. Step 2: Convert to fraction form
    3,692.71/5,539.07 = 1,095.63/x
  3. Step 3: Cross multiply
    3,692.71x = 5,539.07 × 1,095.63
  4. Step 4: Simplify right side
    3,692.71x = 6,068,771.26
  5. Step 5: Solve for x
    x = 6,068,771.26/3,692.71
  6. Step 6: Final answer
    x = 1,643.45

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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.