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Finding the Fourth Proportional to 4,938.98, 7,410.30 and 2,307.97

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Solution

The fourth proportional to 4,938.98, 7,410.30 and 2,307.97 is: 3,462.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,938.98 : 7,410.30 = 2,307.97 : x
  2. Step 2: Convert to fraction form
    4,938.98/7,410.30 = 2,307.97/x
  3. Step 3: Cross multiply
    4,938.98x = 7,410.30 × 2,307.97
  4. Step 4: Simplify right side
    4,938.98x = 17,102,750.09
  5. Step 5: Solve for x
    x = 17,102,750.09/4,938.98
  6. Step 6: Final answer
    x = 3,462.81

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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.