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Finding the Fourth Proportional to 4,078.54, 5,628.43 and 2,310.10

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Solution

The fourth proportional to 4,078.54, 5,628.43 and 2,310.10 is: 3,187.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,078.54 : 5,628.43 = 2,310.10 : x
  2. Step 2: Convert to fraction form
    4,078.54/5,628.43 = 2,310.10/x
  3. Step 3: Cross multiply
    4,078.54x = 5,628.43 × 2,310.10
  4. Step 4: Simplify right side
    4,078.54x = 13,002,236.14
  5. Step 5: Solve for x
    x = 13,002,236.14/4,078.54
  6. Step 6: Final answer
    x = 3,187.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.