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Finding the Fourth Proportional to 5,826.42, 8,036.38 and 3,836.34

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Solution

The fourth proportional to 5,826.42, 8,036.38 and 3,836.34 is: 5,291.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,826.42 : 8,036.38 = 3,836.34 : x
  2. Step 2: Convert to fraction form
    5,826.42/8,036.38 = 3,836.34/x
  3. Step 3: Cross multiply
    5,826.42x = 8,036.38 × 3,836.34
  4. Step 4: Simplify right side
    5,826.42x = 30,830,286.05
  5. Step 5: Solve for x
    x = 30,830,286.05/5,826.42
  6. Step 6: Final answer
    x = 5,291.46

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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.