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Finding the Fourth Proportional to 3,195.84, 4,406.94 and 2,901

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Solution

The fourth proportional to 3,195.84, 4,406.94 and 2,901 is: 4,000.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,195.84 : 4,406.94 = 2,901 : x
  2. Step 2: Convert to fraction form
    3,195.84/4,406.94 = 2,901/x
  3. Step 3: Cross multiply
    3,195.84x = 4,406.94 × 2,901
  4. Step 4: Simplify right side
    3,195.84x = 12,784,532.94
  5. Step 5: Solve for x
    x = 12,784,532.94/3,195.84
  6. Step 6: Final answer
    x = 4,000.37

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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.