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Finding the Fourth Proportional to 3,798.94, 5,241.97 and 2,306.60

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Solution

The fourth proportional to 3,798.94, 5,241.97 and 2,306.60 is: 3,182.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.94 : 5,241.97 = 2,306.60 : x
  2. Step 2: Convert to fraction form
    3,798.94/5,241.97 = 2,306.60/x
  3. Step 3: Cross multiply
    3,798.94x = 5,241.97 × 2,306.60
  4. Step 4: Simplify right side
    3,798.94x = 12,091,128.00
  5. Step 5: Solve for x
    x = 12,091,128.00/3,798.94
  6. Step 6: Final answer
    x = 3,182.76

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1.5x scale

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.