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Finding the Fourth Proportional to 4,609.84, 6,361.62 and 2,513.98

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Solution

The fourth proportional to 4,609.84, 6,361.62 and 2,513.98 is: 3,469.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.84 : 6,361.62 = 2,513.98 : x
  2. Step 2: Convert to fraction form
    4,609.84/6,361.62 = 2,513.98/x
  3. Step 3: Cross multiply
    4,609.84x = 6,361.62 × 2,513.98
  4. Step 4: Simplify right side
    4,609.84x = 15,992,985.45
  5. Step 5: Solve for x
    x = 15,992,985.45/4,609.84
  6. Step 6: Final answer
    x = 3,469.31

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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.