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Finding the Fourth Proportional to 3,925.98, 5,884.18 and 1,843.21

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Solution

The fourth proportional to 3,925.98, 5,884.18 and 1,843.21 is: 2,762.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,925.98 : 5,884.18 = 1,843.21 : x
  2. Step 2: Convert to fraction form
    3,925.98/5,884.18 = 1,843.21/x
  3. Step 3: Cross multiply
    3,925.98x = 5,884.18 × 1,843.21
  4. Step 4: Simplify right side
    3,925.98x = 10,845,756.84
  5. Step 5: Solve for x
    x = 10,845,756.84/3,925.98
  6. Step 6: Final answer
    x = 2,762.56

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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.