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Finding the Fourth Proportional to 4,846.97, 7,269.50 and 1,336.07

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Solution

The fourth proportional to 4,846.97, 7,269.50 and 1,336.07 is: 2,003.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,846.97 : 7,269.50 = 1,336.07 : x
  2. Step 2: Convert to fraction form
    4,846.97/7,269.50 = 1,336.07/x
  3. Step 3: Cross multiply
    4,846.97x = 7,269.50 × 1,336.07
  4. Step 4: Simplify right side
    4,846.97x = 9,712,527.86
  5. Step 5: Solve for x
    x = 9,712,527.86/4,846.97
  6. Step 6: Final answer
    x = 2,003.84

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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.