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Finding the Fourth Proportional to 5,390.34, 8,082.78 and 1,692.96

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Solution

The fourth proportional to 5,390.34, 8,082.78 and 1,692.96 is: 2,538.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,390.34 : 8,082.78 = 1,692.96 : x
  2. Step 2: Convert to fraction form
    5,390.34/8,082.78 = 1,692.96/x
  3. Step 3: Cross multiply
    5,390.34x = 8,082.78 × 1,692.96
  4. Step 4: Simplify right side
    5,390.34x = 13,683,823.23
  5. Step 5: Solve for x
    x = 13,683,823.23/5,390.34
  6. Step 6: Final answer
    x = 2,538.58

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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.