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Finding the Fourth Proportional to 5,740.47, 7,922.20 and 3,823

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Solution

The fourth proportional to 5,740.47, 7,922.20 and 3,823 is: 5,275.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740.47 : 7,922.20 = 3,823 : x
  2. Step 2: Convert to fraction form
    5,740.47/7,922.20 = 3,823/x
  3. Step 3: Cross multiply
    5,740.47x = 7,922.20 × 3,823
  4. Step 4: Simplify right side
    5,740.47x = 30,286,570.60
  5. Step 5: Solve for x
    x = 30,286,570.60/5,740.47
  6. Step 6: Final answer
    x = 5,275.97

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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.