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Finding the Fourth Proportional to 5,823, 8,036.91 and 3,339

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Solution

The fourth proportional to 5,823, 8,036.91 and 3,339 is: 4,608.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823 : 8,036.91 = 3,339 : x
  2. Step 2: Convert to fraction form
    5,823/8,036.91 = 3,339/x
  3. Step 3: Cross multiply
    5,823x = 8,036.91 × 3,339
  4. Step 4: Simplify right side
    5,823x = 26,835,242.49
  5. Step 5: Solve for x
    x = 26,835,242.49/5,823
  6. Step 6: Final answer
    x = 4,608.49

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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.