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Finding the Fourth Proportional to 3,893.42, 5,827.47 and 2,133.99

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Solution

The fourth proportional to 3,893.42, 5,827.47 and 2,133.99 is: 3,194.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.42 : 5,827.47 = 2,133.99 : x
  2. Step 2: Convert to fraction form
    3,893.42/5,827.47 = 2,133.99/x
  3. Step 3: Cross multiply
    3,893.42x = 5,827.47 × 2,133.99
  4. Step 4: Simplify right side
    3,893.42x = 12,435,762.71
  5. Step 5: Solve for x
    x = 12,435,762.71/3,893.42
  6. Step 6: Final answer
    x = 3,194.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.