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Finding the Fourth Proportional to 5,678.22, 7,836.93 and 3,441.33

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Solution

The fourth proportional to 5,678.22, 7,836.93 and 3,441.33 is: 4,749.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.22 : 7,836.93 = 3,441.33 : x
  2. Step 2: Convert to fraction form
    5,678.22/7,836.93 = 3,441.33/x
  3. Step 3: Cross multiply
    5,678.22x = 7,836.93 × 3,441.33
  4. Step 4: Simplify right side
    5,678.22x = 26,969,462.32
  5. Step 5: Solve for x
    x = 26,969,462.32/5,678.22
  6. Step 6: Final answer
    x = 4,749.63

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1.5x scale

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.