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Finding the Fourth Proportional to 5,708.49, 8,564.22 and 2,010.16

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Solution

The fourth proportional to 5,708.49, 8,564.22 and 2,010.16 is: 3,015.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708.49 : 8,564.22 = 2,010.16 : x
  2. Step 2: Convert to fraction form
    5,708.49/8,564.22 = 2,010.16/x
  3. Step 3: Cross multiply
    5,708.49x = 8,564.22 × 2,010.16
  4. Step 4: Simplify right side
    5,708.49x = 17,215,452.48
  5. Step 5: Solve for x
    x = 17,215,452.48/5,708.49
  6. Step 6: Final answer
    x = 3,015.76

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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.