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Finding the Fourth Proportional to 4,960.96, 7,442.16 and 2,361.76

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Solution

The fourth proportional to 4,960.96, 7,442.16 and 2,361.76 is: 3,542.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,960.96 : 7,442.16 = 2,361.76 : x
  2. Step 2: Convert to fraction form
    4,960.96/7,442.16 = 2,361.76/x
  3. Step 3: Cross multiply
    4,960.96x = 7,442.16 × 2,361.76
  4. Step 4: Simplify right side
    4,960.96x = 17,576,595.80
  5. Step 5: Solve for x
    x = 17,576,595.80/4,960.96
  6. Step 6: Final answer
    x = 3,542.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.