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Finding the Fourth Proportional to 4,849.27, 7,274.06 and 1,339.54

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Solution

The fourth proportional to 4,849.27, 7,274.06 and 1,339.54 is: 2,009.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,849.27 : 7,274.06 = 1,339.54 : x
  2. Step 2: Convert to fraction form
    4,849.27/7,274.06 = 1,339.54/x
  3. Step 3: Cross multiply
    4,849.27x = 7,274.06 × 1,339.54
  4. Step 4: Simplify right side
    4,849.27x = 9,743,851.26
  5. Step 5: Solve for x
    x = 9,743,851.26/4,849.27
  6. Step 6: Final answer
    x = 2,009.35

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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.