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Finding the Fourth Proportional to 5,714.52, 8,569.40 and 2,015.08

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Solution

The fourth proportional to 5,714.52, 8,569.40 and 2,015.08 is: 3,021.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.52 : 8,569.40 = 2,015.08 : x
  2. Step 2: Convert to fraction form
    5,714.52/8,569.40 = 2,015.08/x
  3. Step 3: Cross multiply
    5,714.52x = 8,569.40 × 2,015.08
  4. Step 4: Simplify right side
    5,714.52x = 17,267,995.05
  5. Step 5: Solve for x
    x = 17,267,995.05/5,714.52
  6. Step 6: Final answer
    x = 3,021.78

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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.