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Finding the Fourth Proportional to 4,706, 7,059.42 and 1,243.25

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Solution

The fourth proportional to 4,706, 7,059.42 and 1,243.25 is: 1,864.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706 : 7,059.42 = 1,243.25 : x
  2. Step 2: Convert to fraction form
    4,706/7,059.42 = 1,243.25/x
  3. Step 3: Cross multiply
    4,706x = 7,059.42 × 1,243.25
  4. Step 4: Simplify right side
    4,706x = 8,776,623.92
  5. Step 5: Solve for x
    x = 8,776,623.92/4,706
  6. Step 6: Final answer
    x = 1,864.99

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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.