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Finding the Fourth Proportional to 5,116, 7,669.44 and 2,921.60

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Solution

The fourth proportional to 5,116, 7,669.44 and 2,921.60 is: 4,379.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,116 : 7,669.44 = 2,921.60 : x
  2. Step 2: Convert to fraction form
    5,116/7,669.44 = 2,921.60/x
  3. Step 3: Cross multiply
    5,116x = 7,669.44 × 2,921.60
  4. Step 4: Simplify right side
    5,116x = 22,407,035.90
  5. Step 5: Solve for x
    x = 22,407,035.90/5,116
  6. Step 6: Final answer
    x = 4,379.80

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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.