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Finding the Fourth Proportional to 5,714.43, 8,567.27 and 3,954.75

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Solution

The fourth proportional to 5,714.43, 8,567.27 and 3,954.75 is: 5,929.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.43 : 8,567.27 = 3,954.75 : x
  2. Step 2: Convert to fraction form
    5,714.43/8,567.27 = 3,954.75/x
  3. Step 3: Cross multiply
    5,714.43x = 8,567.27 × 3,954.75
  4. Step 4: Simplify right side
    5,714.43x = 33,881,411.03
  5. Step 5: Solve for x
    x = 33,881,411.03/5,714.43
  6. Step 6: Final answer
    x = 5,929.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.