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Finding the Fourth Proportional to 5,409.58, 8,115.07 and 1,899.33

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Solution

The fourth proportional to 5,409.58, 8,115.07 and 1,899.33 is: 2,849.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.58 : 8,115.07 = 1,899.33 : x
  2. Step 2: Convert to fraction form
    5,409.58/8,115.07 = 1,899.33/x
  3. Step 3: Cross multiply
    5,409.58x = 8,115.07 × 1,899.33
  4. Step 4: Simplify right side
    5,409.58x = 15,413,195.90
  5. Step 5: Solve for x
    x = 15,413,195.90/5,409.58
  6. Step 6: Final answer
    x = 2,849.24

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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.