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Finding the Fourth Proportional to 5,822, 8,034.60 and 3,338

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Solution

The fourth proportional to 5,822, 8,034.60 and 3,338 is: 4,606.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822 : 8,034.60 = 3,338 : x
  2. Step 2: Convert to fraction form
    5,822/8,034.60 = 3,338/x
  3. Step 3: Cross multiply
    5,822x = 8,034.60 × 3,338
  4. Step 4: Simplify right side
    5,822x = 26,819,494.80
  5. Step 5: Solve for x
    x = 26,819,494.80/5,822
  6. Step 6: Final answer
    x = 4,606.58

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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.