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Finding the Fourth Proportional to 3,464.54, 5,196.74 and 2,078.26

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Solution

The fourth proportional to 3,464.54, 5,196.74 and 2,078.26 is: 3,117.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.54 : 5,196.74 = 2,078.26 : x
  2. Step 2: Convert to fraction form
    3,464.54/5,196.74 = 2,078.26/x
  3. Step 3: Cross multiply
    3,464.54x = 5,196.74 × 2,078.26
  4. Step 4: Simplify right side
    3,464.54x = 10,800,176.87
  5. Step 5: Solve for x
    x = 10,800,176.87/3,464.54
  6. Step 6: Final answer
    x = 3,117.35

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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.