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Finding the Fourth Proportional to 5,906.08, 8,141.44 and 4,856.32

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Solution

The fourth proportional to 5,906.08, 8,141.44 and 4,856.32 is: 6,694.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.08 : 8,141.44 = 4,856.32 : x
  2. Step 2: Convert to fraction form
    5,906.08/8,141.44 = 4,856.32/x
  3. Step 3: Cross multiply
    5,906.08x = 8,141.44 × 4,856.32
  4. Step 4: Simplify right side
    5,906.08x = 39,537,437.90
  5. Step 5: Solve for x
    x = 39,537,437.90/5,906.08
  6. Step 6: Final answer
    x = 6,694.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.