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Finding the Fourth Proportional to 5,771.07, 7,968.36 and 3,536.01

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Solution

The fourth proportional to 5,771.07, 7,968.36 and 3,536.01 is: 4,882.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,771.07 : 7,968.36 = 3,536.01 : x
  2. Step 2: Convert to fraction form
    5,771.07/7,968.36 = 3,536.01/x
  3. Step 3: Cross multiply
    5,771.07x = 7,968.36 × 3,536.01
  4. Step 4: Simplify right side
    5,771.07x = 28,176,200.64
  5. Step 5: Solve for x
    x = 28,176,200.64/5,771.07
  6. Step 6: Final answer
    x = 4,882.32

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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.