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Finding the Fourth Proportional to 4,093.52, 6,138 and 2,428.32

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Solution

The fourth proportional to 4,093.52, 6,138 and 2,428.32 is: 3,641.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.52 : 6,138 = 2,428.32 : x
  2. Step 2: Convert to fraction form
    4,093.52/6,138 = 2,428.32/x
  3. Step 3: Cross multiply
    4,093.52x = 6,138 × 2,428.32
  4. Step 4: Simplify right side
    4,093.52x = 14,905,028.16
  5. Step 5: Solve for x
    x = 14,905,028.16/4,093.52
  6. Step 6: Final answer
    x = 3,641.13

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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.