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Finding the Fourth Proportional to 4,155.71, 5,764.25 and 4,006.08

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Solution

The fourth proportional to 4,155.71, 5,764.25 and 4,006.08 is: 5,556.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155.71 : 5,764.25 = 4,006.08 : x
  2. Step 2: Convert to fraction form
    4,155.71/5,764.25 = 4,006.08/x
  3. Step 3: Cross multiply
    4,155.71x = 5,764.25 × 4,006.08
  4. Step 4: Simplify right side
    4,155.71x = 23,092,056.66
  5. Step 5: Solve for x
    x = 23,092,056.66/4,155.71
  6. Step 6: Final answer
    x = 5,556.71

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.