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Finding the Fourth Proportional to 5,774.36, 7,968.62 and 3,383.85

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Solution

The fourth proportional to 5,774.36, 7,968.62 and 3,383.85 is: 4,669.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.36 : 7,968.62 = 3,383.85 : x
  2. Step 2: Convert to fraction form
    5,774.36/7,968.62 = 3,383.85/x
  3. Step 3: Cross multiply
    5,774.36x = 7,968.62 × 3,383.85
  4. Step 4: Simplify right side
    5,774.36x = 26,964,597.87
  5. Step 5: Solve for x
    x = 26,964,597.87/5,774.36
  6. Step 6: Final answer
    x = 4,669.72

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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.