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Finding the Fourth Proportional to 4,735.61, 7,103.42 and 1,814.61

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Solution

The fourth proportional to 4,735.61, 7,103.42 and 1,814.61 is: 2,721.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.61 : 7,103.42 = 1,814.61 : x
  2. Step 2: Convert to fraction form
    4,735.61/7,103.42 = 1,814.61/x
  3. Step 3: Cross multiply
    4,735.61x = 7,103.42 × 1,814.61
  4. Step 4: Simplify right side
    4,735.61x = 12,889,936.97
  5. Step 5: Solve for x
    x = 12,889,936.97/4,735.61
  6. Step 6: Final answer
    x = 2,721.92

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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.