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Finding the Fourth Proportional to 5,349.08, 8,024.49 and 1,650.46

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Solution

The fourth proportional to 5,349.08, 8,024.49 and 1,650.46 is: 2,475.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,349.08 : 8,024.49 = 1,650.46 : x
  2. Step 2: Convert to fraction form
    5,349.08/8,024.49 = 1,650.46/x
  3. Step 3: Cross multiply
    5,349.08x = 8,024.49 × 1,650.46
  4. Step 4: Simplify right side
    5,349.08x = 13,244,059.64
  5. Step 5: Solve for x
    x = 13,244,059.64/5,349.08
  6. Step 6: Final answer
    x = 2,475.95

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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.