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Finding the Fourth Proportional to 5,697.36, 7,860.14 and 3,458.42

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Solution

The fourth proportional to 5,697.36, 7,860.14 and 3,458.42 is: 4,771.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.36 : 7,860.14 = 3,458.42 : x
  2. Step 2: Convert to fraction form
    5,697.36/7,860.14 = 3,458.42/x
  3. Step 3: Cross multiply
    5,697.36x = 7,860.14 × 3,458.42
  4. Step 4: Simplify right side
    5,697.36x = 27,183,665.38
  5. Step 5: Solve for x
    x = 27,183,665.38/5,697.36
  6. Step 6: Final answer
    x = 4,771.27

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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.