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Finding the Fourth Proportional to 5,692.08, 7,854.81 and 4,199.46

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Solution

The fourth proportional to 5,692.08, 7,854.81 and 4,199.46 is: 5,795.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.08 : 7,854.81 = 4,199.46 : x
  2. Step 2: Convert to fraction form
    5,692.08/7,854.81 = 4,199.46/x
  3. Step 3: Cross multiply
    5,692.08x = 7,854.81 × 4,199.46
  4. Step 4: Simplify right side
    5,692.08x = 32,985,960.40
  5. Step 5: Solve for x
    x = 32,985,960.40/5,692.08
  6. Step 6: Final answer
    x = 5,795.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.