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Finding the Fourth Proportional to 5,101.38, 7,652.21 and 1,404

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Solution

The fourth proportional to 5,101.38, 7,652.21 and 1,404 is: 2,106.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.38 : 7,652.21 = 1,404 : x
  2. Step 2: Convert to fraction form
    5,101.38/7,652.21 = 1,404/x
  3. Step 3: Cross multiply
    5,101.38x = 7,652.21 × 1,404
  4. Step 4: Simplify right side
    5,101.38x = 10,743,695.82
  5. Step 5: Solve for x
    x = 10,743,695.82/5,101.38
  6. Step 6: Final answer
    x = 2,106.04

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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.