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Finding the Fourth Proportional to 5,706.60, 8,562.64 and 2,783.31

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Solution

The fourth proportional to 5,706.60, 8,562.64 and 2,783.31 is: 4,176.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.60 : 8,562.64 = 2,783.31 : x
  2. Step 2: Convert to fraction form
    5,706.60/8,562.64 = 2,783.31/x
  3. Step 3: Cross multiply
    5,706.60x = 8,562.64 × 2,783.31
  4. Step 4: Simplify right side
    5,706.60x = 23,832,481.54
  5. Step 5: Solve for x
    x = 23,832,481.54/5,706.60
  6. Step 6: Final answer
    x = 4,176.30

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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.