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Finding the Fourth Proportional to 5,047.06, 6,965.86 and 3,059.32

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Solution

The fourth proportional to 5,047.06, 6,965.86 and 3,059.32 is: 4,222.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.06 : 6,965.86 = 3,059.32 : x
  2. Step 2: Convert to fraction form
    5,047.06/6,965.86 = 3,059.32/x
  3. Step 3: Cross multiply
    5,047.06x = 6,965.86 × 3,059.32
  4. Step 4: Simplify right side
    5,047.06x = 21,310,794.82
  5. Step 5: Solve for x
    x = 21,310,794.82/5,047.06
  6. Step 6: Final answer
    x = 4,222.42

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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.