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Finding the Fourth Proportional to 4,938.37, 7,410.47 and 1,820.55

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Solution

The fourth proportional to 4,938.37, 7,410.47 and 1,820.55 is: 2,731.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,938.37 : 7,410.47 = 1,820.55 : x
  2. Step 2: Convert to fraction form
    4,938.37/7,410.47 = 1,820.55/x
  3. Step 3: Cross multiply
    4,938.37x = 7,410.47 × 1,820.55
  4. Step 4: Simplify right side
    4,938.37x = 13,491,163.50
  5. Step 5: Solve for x
    x = 13,491,163.50/4,938.37
  6. Step 6: Final answer
    x = 2,731.91

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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.