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Finding the Fourth Proportional to 3,106.55, 4,286.56 and 1,847.58

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Solution

The fourth proportional to 3,106.55, 4,286.56 and 1,847.58 is: 2,549.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.55 : 4,286.56 = 1,847.58 : x
  2. Step 2: Convert to fraction form
    3,106.55/4,286.56 = 1,847.58/x
  3. Step 3: Cross multiply
    3,106.55x = 4,286.56 × 1,847.58
  4. Step 4: Simplify right side
    3,106.55x = 7,919,762.52
  5. Step 5: Solve for x
    x = 7,919,762.52/3,106.55
  6. Step 6: Final answer
    x = 2,549.38

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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.