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Finding the Fourth Proportional to 5,648.86, 7,795.89 and 3,131.76

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Solution

The fourth proportional to 5,648.86, 7,795.89 and 3,131.76 is: 4,322.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.86 : 7,795.89 = 3,131.76 : x
  2. Step 2: Convert to fraction form
    5,648.86/7,795.89 = 3,131.76/x
  3. Step 3: Cross multiply
    5,648.86x = 7,795.89 × 3,131.76
  4. Step 4: Simplify right side
    5,648.86x = 24,414,845.76
  5. Step 5: Solve for x
    x = 24,414,845.76/5,648.86
  6. Step 6: Final answer
    x = 4,322.09

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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.