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Finding the Fourth Proportional to 5,714.31, 7,885.85 and 3,476.28

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Solution

The fourth proportional to 5,714.31, 7,885.85 and 3,476.28 is: 4,797.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.31 : 7,885.85 = 3,476.28 : x
  2. Step 2: Convert to fraction form
    5,714.31/7,885.85 = 3,476.28/x
  3. Step 3: Cross multiply
    5,714.31x = 7,885.85 × 3,476.28
  4. Step 4: Simplify right side
    5,714.31x = 27,413,422.64
  5. Step 5: Solve for x
    x = 27,413,422.64/5,714.31
  6. Step 6: Final answer
    x = 4,797.33

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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.