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Finding the Fourth Proportional to 4,093.04, 6,135 and 1,627.20

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Solution

The fourth proportional to 4,093.04, 6,135 and 1,627.20 is: 2,438.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.04 : 6,135 = 1,627.20 : x
  2. Step 2: Convert to fraction form
    4,093.04/6,135 = 1,627.20/x
  3. Step 3: Cross multiply
    4,093.04x = 6,135 × 1,627.20
  4. Step 4: Simplify right side
    4,093.04x = 9,982,872
  5. Step 5: Solve for x
    x = 9,982,872/4,093.04
  6. Step 6: Final answer
    x = 2,438.99

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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.