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Finding the Fourth Proportional to 5,798.30, 8,695.38 and 2,099.57

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Solution

The fourth proportional to 5,798.30, 8,695.38 and 2,099.57 is: 3,148.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.30 : 8,695.38 = 2,099.57 : x
  2. Step 2: Convert to fraction form
    5,798.30/8,695.38 = 2,099.57/x
  3. Step 3: Cross multiply
    5,798.30x = 8,695.38 × 2,099.57
  4. Step 4: Simplify right side
    5,798.30x = 18,256,558.99
  5. Step 5: Solve for x
    x = 18,256,558.99/5,798.30
  6. Step 6: Final answer
    x = 3,148.61

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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.