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Finding the Fourth Proportional to 5,119.43, 7,678.17 and 2,346.17

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Solution

The fourth proportional to 5,119.43, 7,678.17 and 2,346.17 is: 3,518.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,119.43 : 7,678.17 = 2,346.17 : x
  2. Step 2: Convert to fraction form
    5,119.43/7,678.17 = 2,346.17/x
  3. Step 3: Cross multiply
    5,119.43x = 7,678.17 × 2,346.17
  4. Step 4: Simplify right side
    5,119.43x = 18,014,253.72
  5. Step 5: Solve for x
    x = 18,014,253.72/5,119.43
  6. Step 6: Final answer
    x = 3,518.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.