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Finding the Fourth Proportional to 5,692.34, 8,538.51 and 2,573.82

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Solution

The fourth proportional to 5,692.34, 8,538.51 and 2,573.82 is: 3,860.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.34 : 8,538.51 = 2,573.82 : x
  2. Step 2: Convert to fraction form
    5,692.34/8,538.51 = 2,573.82/x
  3. Step 3: Cross multiply
    5,692.34x = 8,538.51 × 2,573.82
  4. Step 4: Simplify right side
    5,692.34x = 21,976,587.81
  5. Step 5: Solve for x
    x = 21,976,587.81/5,692.34
  6. Step 6: Final answer
    x = 3,860.73

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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.