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Finding the Fourth Proportional to 4,934, 7,402.14 and 1,856

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Solution

The fourth proportional to 4,934, 7,402.14 and 1,856 is: 2,784.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,934 : 7,402.14 = 1,856 : x
  2. Step 2: Convert to fraction form
    4,934/7,402.14 = 1,856/x
  3. Step 3: Cross multiply
    4,934x = 7,402.14 × 1,856
  4. Step 4: Simplify right side
    4,934x = 13,738,371.84
  5. Step 5: Solve for x
    x = 13,738,371.84/4,934
  6. Step 6: Final answer
    x = 2,784.43

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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.