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Finding the Fourth Proportional to 3,676.64, 5,513.20 and 1,825.60

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Solution

The fourth proportional to 3,676.64, 5,513.20 and 1,825.60 is: 2,737.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.64 : 5,513.20 = 1,825.60 : x
  2. Step 2: Convert to fraction form
    3,676.64/5,513.20 = 1,825.60/x
  3. Step 3: Cross multiply
    3,676.64x = 5,513.20 × 1,825.60
  4. Step 4: Simplify right side
    3,676.64x = 10,064,897.92
  5. Step 5: Solve for x
    x = 10,064,897.92/3,676.64
  6. Step 6: Final answer
    x = 2,737.53

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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.