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Finding the Fourth Proportional to 5,692.02, 8,539.64 and 4,133.58

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Solution

The fourth proportional to 5,692.02, 8,539.64 and 4,133.58 is: 6,201.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.02 : 8,539.64 = 4,133.58 : x
  2. Step 2: Convert to fraction form
    5,692.02/8,539.64 = 4,133.58/x
  3. Step 3: Cross multiply
    5,692.02x = 8,539.64 × 4,133.58
  4. Step 4: Simplify right side
    5,692.02x = 35,299,285.11
  5. Step 5: Solve for x
    x = 35,299,285.11/5,692.02
  6. Step 6: Final answer
    x = 6,201.54

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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.