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Finding the Fourth Proportional to 5,407.09, 8,111.73 and 2,287.09

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Solution

The fourth proportional to 5,407.09, 8,111.73 and 2,287.09 is: 3,431.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.09 : 8,111.73 = 2,287.09 : x
  2. Step 2: Convert to fraction form
    5,407.09/8,111.73 = 2,287.09/x
  3. Step 3: Cross multiply
    5,407.09x = 8,111.73 × 2,287.09
  4. Step 4: Simplify right side
    5,407.09x = 18,552,256.57
  5. Step 5: Solve for x
    x = 18,552,256.57/5,407.09
  6. Step 6: Final answer
    x = 3,431.10

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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.