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Finding the Fourth Proportional to 4,900.02, 6,760.38 and 2,775.30

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Solution

The fourth proportional to 4,900.02, 6,760.38 and 2,775.30 is: 3,828.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.02 : 6,760.38 = 2,775.30 : x
  2. Step 2: Convert to fraction form
    4,900.02/6,760.38 = 2,775.30/x
  3. Step 3: Cross multiply
    4,900.02x = 6,760.38 × 2,775.30
  4. Step 4: Simplify right side
    4,900.02x = 18,762,082.61
  5. Step 5: Solve for x
    x = 18,762,082.61/4,900.02
  6. Step 6: Final answer
    x = 3,828.98

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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.