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Finding the Fourth Proportional to 5,152.69, 7,110.69 and 2,794.84

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Solution

The fourth proportional to 5,152.69, 7,110.69 and 2,794.84 is: 3,856.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.69 : 7,110.69 = 2,794.84 : x
  2. Step 2: Convert to fraction form
    5,152.69/7,110.69 = 2,794.84/x
  3. Step 3: Cross multiply
    5,152.69x = 7,110.69 × 2,794.84
  4. Step 4: Simplify right side
    5,152.69x = 19,873,240.84
  5. Step 5: Solve for x
    x = 19,873,240.84/5,152.69
  6. Step 6: Final answer
    x = 3,856.87

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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.