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Finding the Fourth Proportional to 5,692.60, 8,538.90 and 5,473.90

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Solution

The fourth proportional to 5,692.60, 8,538.90 and 5,473.90 is: 8,210.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.60 : 8,538.90 = 5,473.90 : x
  2. Step 2: Convert to fraction form
    5,692.60/8,538.90 = 5,473.90/x
  3. Step 3: Cross multiply
    5,692.60x = 8,538.90 × 5,473.90
  4. Step 4: Simplify right side
    5,692.60x = 46,741,084.71
  5. Step 5: Solve for x
    x = 46,741,084.71/5,692.60
  6. Step 6: Final answer
    x = 8,210.85

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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.