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Finding the Fourth Proportional to 5,353.84, 8,032.14 and 2,066.05

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Solution

The fourth proportional to 5,353.84, 8,032.14 and 2,066.05 is: 3,099.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,353.84 : 8,032.14 = 2,066.05 : x
  2. Step 2: Convert to fraction form
    5,353.84/8,032.14 = 2,066.05/x
  3. Step 3: Cross multiply
    5,353.84x = 8,032.14 × 2,066.05
  4. Step 4: Simplify right side
    5,353.84x = 16,594,782.77
  5. Step 5: Solve for x
    x = 16,594,782.77/5,353.84
  6. Step 6: Final answer
    x = 3,099.61

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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.