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Finding the Fourth Proportional to 5,784, 7,983 and 3,300

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Solution

The fourth proportional to 5,784, 7,983 and 3,300 is: 4,554.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784 : 7,983 = 3,300 : x
  2. Step 2: Convert to fraction form
    5,784/7,983 = 3,300/x
  3. Step 3: Cross multiply
    5,784x = 7,983 × 3,300
  4. Step 4: Simplify right side
    5,784x = 26,343,900
  5. Step 5: Solve for x
    x = 26,343,900/5,784
  6. Step 6: Final answer
    x = 4,554.62

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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.