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Finding the Fourth Proportional to 5,513.44, 7,608.64 and 3,155.60

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Solution

The fourth proportional to 5,513.44, 7,608.64 and 3,155.60 is: 4,354.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,513.44 : 7,608.64 = 3,155.60 : x
  2. Step 2: Convert to fraction form
    5,513.44/7,608.64 = 3,155.60/x
  3. Step 3: Cross multiply
    5,513.44x = 7,608.64 × 3,155.60
  4. Step 4: Simplify right side
    5,513.44x = 24,009,824.38
  5. Step 5: Solve for x
    x = 24,009,824.38/5,513.44
  6. Step 6: Final answer
    x = 4,354.78

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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.