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Finding the Fourth Proportional to 5,325.78, 7,349.58 and 2,968.38

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Solution

The fourth proportional to 5,325.78, 7,349.58 and 2,968.38 is: 4,096.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,325.78 : 7,349.58 = 2,968.38 : x
  2. Step 2: Convert to fraction form
    5,325.78/7,349.58 = 2,968.38/x
  3. Step 3: Cross multiply
    5,325.78x = 7,349.58 × 2,968.38
  4. Step 4: Simplify right side
    5,325.78x = 21,816,346.28
  5. Step 5: Solve for x
    x = 21,816,346.28/5,325.78
  6. Step 6: Final answer
    x = 4,096.37

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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.