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Finding the Fourth Proportional to 3,059.68, 4,214.64 and 2,468.56

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Solution

The fourth proportional to 3,059.68, 4,214.64 and 2,468.56 is: 3,400.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.68 : 4,214.64 = 2,468.56 : x
  2. Step 2: Convert to fraction form
    3,059.68/4,214.64 = 2,468.56/x
  3. Step 3: Cross multiply
    3,059.68x = 4,214.64 × 2,468.56
  4. Step 4: Simplify right side
    3,059.68x = 10,404,091.72
  5. Step 5: Solve for x
    x = 10,404,091.72/3,059.68
  6. Step 6: Final answer
    x = 3,400.39

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Why These Related Problems?

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