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Finding the Fourth Proportional to 5,150.70, 7,725.06 and 2,029.86

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Solution

The fourth proportional to 5,150.70, 7,725.06 and 2,029.86 is: 3,044.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,150.70 : 7,725.06 = 2,029.86 : x
  2. Step 2: Convert to fraction form
    5,150.70/7,725.06 = 2,029.86/x
  3. Step 3: Cross multiply
    5,150.70x = 7,725.06 × 2,029.86
  4. Step 4: Simplify right side
    5,150.70x = 15,680,790.29
  5. Step 5: Solve for x
    x = 15,680,790.29/5,150.70
  6. Step 6: Final answer
    x = 3,044.40

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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.