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Finding the Fourth Proportional to 5,692.14, 8,539.91 and 2,920.77

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Solution

The fourth proportional to 5,692.14, 8,539.91 and 2,920.77 is: 4,382.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.14 : 8,539.91 = 2,920.77 : x
  2. Step 2: Convert to fraction form
    5,692.14/8,539.91 = 2,920.77/x
  3. Step 3: Cross multiply
    5,692.14x = 8,539.91 × 2,920.77
  4. Step 4: Simplify right side
    5,692.14x = 24,943,098.33
  5. Step 5: Solve for x
    x = 24,943,098.33/5,692.14
  6. Step 6: Final answer
    x = 4,382.02

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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.