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Finding the Fourth Proportional to 5,952.93, 8,212.86 and 3,594.21

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Solution

The fourth proportional to 5,952.93, 8,212.86 and 3,594.21 is: 4,958.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.93 : 8,212.86 = 3,594.21 : x
  2. Step 2: Convert to fraction form
    5,952.93/8,212.86 = 3,594.21/x
  3. Step 3: Cross multiply
    5,952.93x = 8,212.86 × 3,594.21
  4. Step 4: Simplify right side
    5,952.93x = 29,518,743.54
  5. Step 5: Solve for x
    x = 29,518,743.54/5,952.93
  6. Step 6: Final answer
    x = 4,958.69

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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.