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Finding the Fourth Proportional to 5,333.78, 7,358.64 and 3,095.30

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Solution

The fourth proportional to 5,333.78, 7,358.64 and 3,095.30 is: 4,270.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,333.78 : 7,358.64 = 3,095.30 : x
  2. Step 2: Convert to fraction form
    5,333.78/7,358.64 = 3,095.30/x
  3. Step 3: Cross multiply
    5,333.78x = 7,358.64 × 3,095.30
  4. Step 4: Simplify right side
    5,333.78x = 22,777,198.39
  5. Step 5: Solve for x
    x = 22,777,198.39/5,333.78
  6. Step 6: Final answer
    x = 4,270.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.