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Finding the Fourth Proportional to 5,302.86, 7,954.29 and 2,015.19

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Solution

The fourth proportional to 5,302.86, 7,954.29 and 2,015.19 is: 3,022.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.86 : 7,954.29 = 2,015.19 : x
  2. Step 2: Convert to fraction form
    5,302.86/7,954.29 = 2,015.19/x
  3. Step 3: Cross multiply
    5,302.86x = 7,954.29 × 2,015.19
  4. Step 4: Simplify right side
    5,302.86x = 16,029,405.67
  5. Step 5: Solve for x
    x = 16,029,405.67/5,302.86
  6. Step 6: Final answer
    x = 3,022.79

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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.