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Finding the Fourth Proportional to 5,725.89, 8,593.22 and 2,564.29

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Solution

The fourth proportional to 5,725.89, 8,593.22 and 2,564.29 is: 3,848.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,725.89 : 8,593.22 = 2,564.29 : x
  2. Step 2: Convert to fraction form
    5,725.89/8,593.22 = 2,564.29/x
  3. Step 3: Cross multiply
    5,725.89x = 8,593.22 × 2,564.29
  4. Step 4: Simplify right side
    5,725.89x = 22,035,508.11
  5. Step 5: Solve for x
    x = 22,035,508.11/5,725.89
  6. Step 6: Final answer
    x = 3,848.40

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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.