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Finding the Fourth Proportional to 5,730.67, 8,594.01 and 2,728.34

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Solution

The fourth proportional to 5,730.67, 8,594.01 and 2,728.34 is: 4,091.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.67 : 8,594.01 = 2,728.34 : x
  2. Step 2: Convert to fraction form
    5,730.67/8,594.01 = 2,728.34/x
  3. Step 3: Cross multiply
    5,730.67x = 8,594.01 × 2,728.34
  4. Step 4: Simplify right side
    5,730.67x = 23,447,381.24
  5. Step 5: Solve for x
    x = 23,447,381.24/5,730.67
  6. Step 6: Final answer
    x = 4,091.56

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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.