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Finding the Fourth Proportional to 5,265.88, 7,886.94 and 4,086.46

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Solution

The fourth proportional to 5,265.88, 7,886.94 and 4,086.46 is: 6,120.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265.88 : 7,886.94 = 4,086.46 : x
  2. Step 2: Convert to fraction form
    5,265.88/7,886.94 = 4,086.46/x
  3. Step 3: Cross multiply
    5,265.88x = 7,886.94 × 4,086.46
  4. Step 4: Simplify right side
    5,265.88x = 32,229,664.83
  5. Step 5: Solve for x
    x = 32,229,664.83/5,265.88
  6. Step 6: Final answer
    x = 6,120.47

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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.