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Finding the Fourth Proportional to 4,166.00, 5,743.15 and 2,838

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Solution

The fourth proportional to 4,166.00, 5,743.15 and 2,838 is: 3,912.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.00 : 5,743.15 = 2,838 : x
  2. Step 2: Convert to fraction form
    4,166.00/5,743.15 = 2,838/x
  3. Step 3: Cross multiply
    4,166.00x = 5,743.15 × 2,838
  4. Step 4: Simplify right side
    4,166.00x = 16,299,045.51
  5. Step 5: Solve for x
    x = 16,299,045.51/4,166.00
  6. Step 6: Final answer
    x = 3,912.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.