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Finding the Fourth Proportional to 5,047.96, 6,966.48 and 3,059.02

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Solution

The fourth proportional to 5,047.96, 6,966.48 and 3,059.02 is: 4,221.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.96 : 6,966.48 = 3,059.02 : x
  2. Step 2: Convert to fraction form
    5,047.96/6,966.48 = 3,059.02/x
  3. Step 3: Cross multiply
    5,047.96x = 6,966.48 × 3,059.02
  4. Step 4: Simplify right side
    5,047.96x = 21,310,601.65
  5. Step 5: Solve for x
    x = 21,310,601.65/5,047.96
  6. Step 6: Final answer
    x = 4,221.63

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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.