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Finding the Fourth Proportional to 3,886.71, 5,365.22 and 2,314.50

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Solution

The fourth proportional to 3,886.71, 5,365.22 and 2,314.50 is: 3,194.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.71 : 5,365.22 = 2,314.50 : x
  2. Step 2: Convert to fraction form
    3,886.71/5,365.22 = 2,314.50/x
  3. Step 3: Cross multiply
    3,886.71x = 5,365.22 × 2,314.50
  4. Step 4: Simplify right side
    3,886.71x = 12,417,801.69
  5. Step 5: Solve for x
    x = 12,417,801.69/3,886.71
  6. Step 6: Final answer
    x = 3,194.94

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