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Finding the Fourth Proportional to 5,309.17, 7,961.01 and 2,384.98

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Solution

The fourth proportional to 5,309.17, 7,961.01 and 2,384.98 is: 3,576.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.17 : 7,961.01 = 2,384.98 : x
  2. Step 2: Convert to fraction form
    5,309.17/7,961.01 = 2,384.98/x
  3. Step 3: Cross multiply
    5,309.17x = 7,961.01 × 2,384.98
  4. Step 4: Simplify right side
    5,309.17x = 18,986,849.63
  5. Step 5: Solve for x
    x = 18,986,849.63/5,309.17
  6. Step 6: Final answer
    x = 3,576.24

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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.