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Finding the Fourth Proportional to 5,692.61, 8,533.06 and 2,181.67

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Solution

The fourth proportional to 5,692.61, 8,533.06 and 2,181.67 is: 3,270.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.61 : 8,533.06 = 2,181.67 : x
  2. Step 2: Convert to fraction form
    5,692.61/8,533.06 = 2,181.67/x
  3. Step 3: Cross multiply
    5,692.61x = 8,533.06 × 2,181.67
  4. Step 4: Simplify right side
    5,692.61x = 18,616,294.22
  5. Step 5: Solve for x
    x = 18,616,294.22/5,692.61
  6. Step 6: Final answer
    x = 3,270.25

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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.