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Finding the Fourth Proportional to 5,706, 7,875 and 3,222

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Solution

The fourth proportional to 5,706, 7,875 and 3,222 is: 4,446.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706 : 7,875 = 3,222 : x
  2. Step 2: Convert to fraction form
    5,706/7,875 = 3,222/x
  3. Step 3: Cross multiply
    5,706x = 7,875 × 3,222
  4. Step 4: Simplify right side
    5,706x = 25,373,250
  5. Step 5: Solve for x
    x = 25,373,250/5,706
  6. Step 6: Final answer
    x = 4,446.77

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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.