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Finding the Fourth Proportional to 5,390.16, 8,082.90 and 2,101.38

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Solution

The fourth proportional to 5,390.16, 8,082.90 and 2,101.38 is: 3,151.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,390.16 : 8,082.90 = 2,101.38 : x
  2. Step 2: Convert to fraction form
    5,390.16/8,082.90 = 2,101.38/x
  3. Step 3: Cross multiply
    5,390.16x = 8,082.90 × 2,101.38
  4. Step 4: Simplify right side
    5,390.16x = 16,985,244.40
  5. Step 5: Solve for x
    x = 16,985,244.40/5,390.16
  6. Step 6: Final answer
    x = 3,151.16

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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.