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Finding the Fourth Proportional to 3,563.68, 5,342.28 and 2,407

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Solution

The fourth proportional to 3,563.68, 5,342.28 and 2,407 is: 3,608.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.68 : 5,342.28 = 2,407 : x
  2. Step 2: Convert to fraction form
    3,563.68/5,342.28 = 2,407/x
  3. Step 3: Cross multiply
    3,563.68x = 5,342.28 × 2,407
  4. Step 4: Simplify right side
    3,563.68x = 12,858,867.96
  5. Step 5: Solve for x
    x = 12,858,867.96/3,563.68
  6. Step 6: Final answer
    x = 3,608.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.