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Finding the Fourth Proportional to 5,608.14, 7,739.79 and 4,208.46

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Solution

The fourth proportional to 5,608.14, 7,739.79 and 4,208.46 is: 5,808.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,608.14 : 7,739.79 = 4,208.46 : x
  2. Step 2: Convert to fraction form
    5,608.14/7,739.79 = 4,208.46/x
  3. Step 3: Cross multiply
    5,608.14x = 7,739.79 × 4,208.46
  4. Step 4: Simplify right side
    5,608.14x = 32,572,596.62
  5. Step 5: Solve for x
    x = 32,572,596.62/5,608.14
  6. Step 6: Final answer
    x = 5,808.09

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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.