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Finding the Fourth Proportional to 5,348.65, 8,024.09 and 1,650.80

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Solution

The fourth proportional to 5,348.65, 8,024.09 and 1,650.80 is: 2,476.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,348.65 : 8,024.09 = 1,650.80 : x
  2. Step 2: Convert to fraction form
    5,348.65/8,024.09 = 1,650.80/x
  3. Step 3: Cross multiply
    5,348.65x = 8,024.09 × 1,650.80
  4. Step 4: Simplify right side
    5,348.65x = 13,246,167.77
  5. Step 5: Solve for x
    x = 13,246,167.77/5,348.65
  6. Step 6: Final answer
    x = 2,476.54

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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.