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Finding the Fourth Proportional to 5,705.60, 8,561.14 and 2,782.31

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Solution

The fourth proportional to 5,705.60, 8,561.14 and 2,782.31 is: 4,174.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.60 : 8,561.14 = 2,782.31 : x
  2. Step 2: Convert to fraction form
    5,705.60/8,561.14 = 2,782.31/x
  3. Step 3: Cross multiply
    5,705.60x = 8,561.14 × 2,782.31
  4. Step 4: Simplify right side
    5,705.60x = 23,819,745.43
  5. Step 5: Solve for x
    x = 23,819,745.43/5,705.60
  6. Step 6: Final answer
    x = 4,174.80

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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.