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Finding the Fourth Proportional to 3,886.66, 5,364.03 and 2,314.72

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Solution

The fourth proportional to 3,886.66, 5,364.03 and 2,314.72 is: 3,194.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.66 : 5,364.03 = 2,314.72 : x
  2. Step 2: Convert to fraction form
    3,886.66/5,364.03 = 2,314.72/x
  3. Step 3: Cross multiply
    3,886.66x = 5,364.03 × 2,314.72
  4. Step 4: Simplify right side
    3,886.66x = 12,416,227.52
  5. Step 5: Solve for x
    x = 12,416,227.52/3,886.66
  6. Step 6: Final answer
    x = 3,194.58

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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.