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Finding the Fourth Proportional to 5,692.06, 7,854.80 and 4,199.44

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Solution

The fourth proportional to 5,692.06, 7,854.80 and 4,199.44 is: 5,795.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.06 : 7,854.80 = 4,199.44 : x
  2. Step 2: Convert to fraction form
    5,692.06/7,854.80 = 4,199.44/x
  3. Step 3: Cross multiply
    5,692.06x = 7,854.80 × 4,199.44
  4. Step 4: Simplify right side
    5,692.06x = 32,985,761.31
  5. Step 5: Solve for x
    x = 32,985,761.31/5,692.06
  6. Step 6: Final answer
    x = 5,795.05

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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.