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Finding the Fourth Proportional to 5,098.35, 7,647.48 and 1,635.60

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Solution

The fourth proportional to 5,098.35, 7,647.48 and 1,635.60 is: 2,453.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.35 : 7,647.48 = 1,635.60 : x
  2. Step 2: Convert to fraction form
    5,098.35/7,647.48 = 1,635.60/x
  3. Step 3: Cross multiply
    5,098.35x = 7,647.48 × 1,635.60
  4. Step 4: Simplify right side
    5,098.35x = 12,508,218.29
  5. Step 5: Solve for x
    x = 12,508,218.29/5,098.35
  6. Step 6: Final answer
    x = 2,453.39

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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.