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Finding the Fourth Proportional to 5,796.36, 8,692.35 and 2,097.67

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Solution

The fourth proportional to 5,796.36, 8,692.35 and 2,097.67 is: 3,145.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.36 : 8,692.35 = 2,097.67 : x
  2. Step 2: Convert to fraction form
    5,796.36/8,692.35 = 2,097.67/x
  3. Step 3: Cross multiply
    5,796.36x = 8,692.35 × 2,097.67
  4. Step 4: Simplify right side
    5,796.36x = 18,233,681.82
  5. Step 5: Solve for x
    x = 18,233,681.82/5,796.36
  6. Step 6: Final answer
    x = 3,145.72

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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.