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Finding the Fourth Proportional to 5,714.37, 7,886.57 and 3,196.62

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Solution

The fourth proportional to 5,714.37, 7,886.57 and 3,196.62 is: 4,411.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.37 : 7,886.57 = 3,196.62 : x
  2. Step 2: Convert to fraction form
    5,714.37/7,886.57 = 3,196.62/x
  3. Step 3: Cross multiply
    5,714.37x = 7,886.57 × 3,196.62
  4. Step 4: Simplify right side
    5,714.37x = 25,210,367.39
  5. Step 5: Solve for x
    x = 25,210,367.39/5,714.37
  6. Step 6: Final answer
    x = 4,411.75

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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.