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Finding the Fourth Proportional to 5,405.78, 8,111.86 and 2,285.60

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Solution

The fourth proportional to 5,405.78, 8,111.86 and 2,285.60 is: 3,429.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.78 : 8,111.86 = 2,285.60 : x
  2. Step 2: Convert to fraction form
    5,405.78/8,111.86 = 2,285.60/x
  3. Step 3: Cross multiply
    5,405.78x = 8,111.86 × 2,285.60
  4. Step 4: Simplify right side
    5,405.78x = 18,540,467.22
  5. Step 5: Solve for x
    x = 18,540,467.22/5,405.78
  6. Step 6: Final answer
    x = 3,429.75

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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.