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Finding the Fourth Proportional to 5,705.64, 8,558.46 and 2,010.42

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Solution

The fourth proportional to 5,705.64, 8,558.46 and 2,010.42 is: 3,015.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.64 : 8,558.46 = 2,010.42 : x
  2. Step 2: Convert to fraction form
    5,705.64/8,558.46 = 2,010.42/x
  3. Step 3: Cross multiply
    5,705.64x = 8,558.46 × 2,010.42
  4. Step 4: Simplify right side
    5,705.64x = 17,206,099.15
  5. Step 5: Solve for x
    x = 17,206,099.15/5,705.64
  6. Step 6: Final answer
    x = 3,015.63

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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.