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Finding the Fourth Proportional to 5,762.97, 8,646.24 and 2,762.23

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Solution

The fourth proportional to 5,762.97, 8,646.24 and 2,762.23 is: 4,144.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.97 : 8,646.24 = 2,762.23 : x
  2. Step 2: Convert to fraction form
    5,762.97/8,646.24 = 2,762.23/x
  3. Step 3: Cross multiply
    5,762.97x = 8,646.24 × 2,762.23
  4. Step 4: Simplify right side
    5,762.97x = 23,882,884.15
  5. Step 5: Solve for x
    x = 23,882,884.15/5,762.97
  6. Step 6: Final answer
    x = 4,144.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.