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Finding the Fourth Proportional to 5,714.75, 7,886.28 and 3,196.82

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Solution

The fourth proportional to 5,714.75, 7,886.28 and 3,196.82 is: 4,411.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.75 : 7,886.28 = 3,196.82 : x
  2. Step 2: Convert to fraction form
    5,714.75/7,886.28 = 3,196.82/x
  3. Step 3: Cross multiply
    5,714.75x = 7,886.28 × 3,196.82
  4. Step 4: Simplify right side
    5,714.75x = 25,210,978.20
  5. Step 5: Solve for x
    x = 25,210,978.20/5,714.75
  6. Step 6: Final answer
    x = 4,411.57

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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.