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Finding the Fourth Proportional to 5,407.94, 8,096.09 and 4,889.13

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Solution

The fourth proportional to 5,407.94, 8,096.09 and 4,889.13 is: 7,319.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.94 : 8,096.09 = 4,889.13 : x
  2. Step 2: Convert to fraction form
    5,407.94/8,096.09 = 4,889.13/x
  3. Step 3: Cross multiply
    5,407.94x = 8,096.09 × 4,889.13
  4. Step 4: Simplify right side
    5,407.94x = 39,582,812.06
  5. Step 5: Solve for x
    x = 39,582,812.06/5,407.94
  6. Step 6: Final answer
    x = 7,319.39

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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.