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Finding the Fourth Proportional to 3,797.42, 5,240.40 and 2,141.42

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Solution

The fourth proportional to 3,797.42, 5,240.40 and 2,141.42 is: 2,955.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.42 : 5,240.40 = 2,141.42 : x
  2. Step 2: Convert to fraction form
    3,797.42/5,240.40 = 2,141.42/x
  3. Step 3: Cross multiply
    3,797.42x = 5,240.40 × 2,141.42
  4. Step 4: Simplify right side
    3,797.42x = 11,221,897.37
  5. Step 5: Solve for x
    x = 11,221,897.37/3,797.42
  6. Step 6: Final answer
    x = 2,955.14

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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.