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Finding the Fourth Proportional to 3,527.39, 4,867.73 and 1,934.00

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Solution

The fourth proportional to 3,527.39, 4,867.73 and 1,934.00 is: 2,668.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.39 : 4,867.73 = 1,934.00 : x
  2. Step 2: Convert to fraction form
    3,527.39/4,867.73 = 1,934.00/x
  3. Step 3: Cross multiply
    3,527.39x = 4,867.73 × 1,934.00
  4. Step 4: Simplify right side
    3,527.39x = 9,414,170.32
  5. Step 5: Solve for x
    x = 9,414,170.32/3,527.39
  6. Step 6: Final answer
    x = 2,668.88

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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.