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Finding the Fourth Proportional to 3,934.94, 5,900.87 and 1,594.34

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Solution

The fourth proportional to 3,934.94, 5,900.87 and 1,594.34 is: 2,390.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,934.94 : 5,900.87 = 1,594.34 : x
  2. Step 2: Convert to fraction form
    3,934.94/5,900.87 = 1,594.34/x
  3. Step 3: Cross multiply
    3,934.94x = 5,900.87 × 1,594.34
  4. Step 4: Simplify right side
    3,934.94x = 9,407,955.60
  5. Step 5: Solve for x
    x = 9,407,955.60/3,934.94
  6. Step 6: Final answer
    x = 2,390.88

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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.