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Finding the Fourth Proportional to 5,708.87, 8,564.00 and 2,010.34

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Solution

The fourth proportional to 5,708.87, 8,564.00 and 2,010.34 is: 3,015.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708.87 : 8,564.00 = 2,010.34 : x
  2. Step 2: Convert to fraction form
    5,708.87/8,564.00 = 2,010.34/x
  3. Step 3: Cross multiply
    5,708.87x = 8,564.00 × 2,010.34
  4. Step 4: Simplify right side
    5,708.87x = 17,216,520.30
  5. Step 5: Solve for x
    x = 17,216,520.30/5,708.87
  6. Step 6: Final answer
    x = 3,015.75

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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.