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Finding the Fourth Proportional to 5,196.86, 7,171.35 and 2,838.86

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Solution

The fourth proportional to 5,196.86, 7,171.35 and 2,838.86 is: 3,917.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.86 : 7,171.35 = 2,838.86 : x
  2. Step 2: Convert to fraction form
    5,196.86/7,171.35 = 2,838.86/x
  3. Step 3: Cross multiply
    5,196.86x = 7,171.35 × 2,838.86
  4. Step 4: Simplify right side
    5,196.86x = 20,358,458.66
  5. Step 5: Solve for x
    x = 20,358,458.66/5,196.86
  6. Step 6: Final answer
    x = 3,917.45

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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.