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Finding the Fourth Proportional to 4,065.84, 6,099.44 and 1,468.44

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Solution

The fourth proportional to 4,065.84, 6,099.44 and 1,468.44 is: 2,202.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,065.84 : 6,099.44 = 1,468.44 : x
  2. Step 2: Convert to fraction form
    4,065.84/6,099.44 = 1,468.44/x
  3. Step 3: Cross multiply
    4,065.84x = 6,099.44 × 1,468.44
  4. Step 4: Simplify right side
    4,065.84x = 8,956,661.67
  5. Step 5: Solve for x
    x = 8,956,661.67/4,065.84
  6. Step 6: Final answer
    x = 2,202.91

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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.