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Finding the Fourth Proportional to 5,116.59, 7,674.89 and 3,384.81

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Solution

The fourth proportional to 5,116.59, 7,674.89 and 3,384.81 is: 5,077.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,116.59 : 7,674.89 = 3,384.81 : x
  2. Step 2: Convert to fraction form
    5,116.59/7,674.89 = 3,384.81/x
  3. Step 3: Cross multiply
    5,116.59x = 7,674.89 × 3,384.81
  4. Step 4: Simplify right side
    5,116.59x = 25,978,027.50
  5. Step 5: Solve for x
    x = 25,978,027.50/5,116.59
  6. Step 6: Final answer
    x = 5,077.22

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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.