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Finding the Fourth Proportional to 5,842.42, 8,063.01 and 3,324.64

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Solution

The fourth proportional to 5,842.42, 8,063.01 and 3,324.64 is: 4,588.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.42 : 8,063.01 = 3,324.64 : x
  2. Step 2: Convert to fraction form
    5,842.42/8,063.01 = 3,324.64/x
  3. Step 3: Cross multiply
    5,842.42x = 8,063.01 × 3,324.64
  4. Step 4: Simplify right side
    5,842.42x = 26,806,605.57
  5. Step 5: Solve for x
    x = 26,806,605.57/5,842.42
  6. Step 6: Final answer
    x = 4,588.27

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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.