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Finding the Fourth Proportional to 5,734.88, 8,596.52 and 3,886.19

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Solution

The fourth proportional to 5,734.88, 8,596.52 and 3,886.19 is: 5,825.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.88 : 8,596.52 = 3,886.19 : x
  2. Step 2: Convert to fraction form
    5,734.88/8,596.52 = 3,886.19/x
  3. Step 3: Cross multiply
    5,734.88x = 8,596.52 × 3,886.19
  4. Step 4: Simplify right side
    5,734.88x = 33,407,664.81
  5. Step 5: Solve for x
    x = 33,407,664.81/5,734.88
  6. Step 6: Final answer
    x = 5,825.34

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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.