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Finding the Fourth Proportional to 3,873.42, 5,809.86 and 1,099.98

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Solution

The fourth proportional to 3,873.42, 5,809.86 and 1,099.98 is: 1,649.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.42 : 5,809.86 = 1,099.98 : x
  2. Step 2: Convert to fraction form
    3,873.42/5,809.86 = 1,099.98/x
  3. Step 3: Cross multiply
    3,873.42x = 5,809.86 × 1,099.98
  4. Step 4: Simplify right side
    3,873.42x = 6,390,729.80
  5. Step 5: Solve for x
    x = 6,390,729.80/3,873.42
  6. Step 6: Final answer
    x = 1,649.89

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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.