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Finding the Fourth Proportional to 5,155.25, 7,727.58 and 2,034

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Solution

The fourth proportional to 5,155.25, 7,727.58 and 2,034 is: 3,048.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,155.25 : 7,727.58 = 2,034 : x
  2. Step 2: Convert to fraction form
    5,155.25/7,727.58 = 2,034/x
  3. Step 3: Cross multiply
    5,155.25x = 7,727.58 × 2,034
  4. Step 4: Simplify right side
    5,155.25x = 15,717,897.72
  5. Step 5: Solve for x
    x = 15,717,897.72/5,155.25
  6. Step 6: Final answer
    x = 3,048.91

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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.