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Finding the Fourth Proportional to 5,099.13, 7,647.98 and 1,635.93

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Solution

The fourth proportional to 5,099.13, 7,647.98 and 1,635.93 is: 2,453.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099.13 : 7,647.98 = 1,635.93 : x
  2. Step 2: Convert to fraction form
    5,099.13/7,647.98 = 1,635.93/x
  3. Step 3: Cross multiply
    5,099.13x = 7,647.98 × 1,635.93
  4. Step 4: Simplify right side
    5,099.13x = 12,511,551.74
  5. Step 5: Solve for x
    x = 12,511,551.74/5,099.13
  6. Step 6: Final answer
    x = 2,453.66

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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.