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Finding the Fourth Proportional to 4,704.94, 7,062.01 and 2,241.46

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Solution

The fourth proportional to 4,704.94, 7,062.01 and 2,241.46 is: 3,364.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.94 : 7,062.01 = 2,241.46 : x
  2. Step 2: Convert to fraction form
    4,704.94/7,062.01 = 2,241.46/x
  3. Step 3: Cross multiply
    4,704.94x = 7,062.01 × 2,241.46
  4. Step 4: Simplify right side
    4,704.94x = 15,829,212.93
  5. Step 5: Solve for x
    x = 15,829,212.93/4,704.94
  6. Step 6: Final answer
    x = 3,364.38

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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.