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Finding the Fourth Proportional to 3,920.94, 5,884.16 and 1,841.01

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Solution

The fourth proportional to 3,920.94, 5,884.16 and 1,841.01 is: 2,762.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.94 : 5,884.16 = 1,841.01 : x
  2. Step 2: Convert to fraction form
    3,920.94/5,884.16 = 1,841.01/x
  3. Step 3: Cross multiply
    3,920.94x = 5,884.16 × 1,841.01
  4. Step 4: Simplify right side
    3,920.94x = 10,832,797.40
  5. Step 5: Solve for x
    x = 10,832,797.40/3,920.94
  6. Step 6: Final answer
    x = 2,762.81

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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.