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Finding the Fourth Proportional to 5,513.55, 7,608.38 and 4,113.87

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Solution

The fourth proportional to 5,513.55, 7,608.38 and 4,113.87 is: 5,676.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,513.55 : 7,608.38 = 4,113.87 : x
  2. Step 2: Convert to fraction form
    5,513.55/7,608.38 = 4,113.87/x
  3. Step 3: Cross multiply
    5,513.55x = 7,608.38 × 4,113.87
  4. Step 4: Simplify right side
    5,513.55x = 31,299,865.66
  5. Step 5: Solve for x
    x = 31,299,865.66/5,513.55
  6. Step 6: Final answer
    x = 5,676.90

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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.