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Finding the Fourth Proportional to 5,678.86, 7,837 and 3,161.11

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Solution

The fourth proportional to 5,678.86, 7,837 and 3,161.11 is: 4,362.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.86 : 7,837 = 3,161.11 : x
  2. Step 2: Convert to fraction form
    5,678.86/7,837 = 3,161.11/x
  3. Step 3: Cross multiply
    5,678.86x = 7,837 × 3,161.11
  4. Step 4: Simplify right side
    5,678.86x = 24,773,619.07
  5. Step 5: Solve for x
    x = 24,773,619.07/5,678.86
  6. Step 6: Final answer
    x = 4,362.43

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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.