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Finding the Fourth Proportional to 5,358.44, 7,393.96 and 3,000

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Solution

The fourth proportional to 5,358.44, 7,393.96 and 3,000 is: 4,139.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,358.44 : 7,393.96 = 3,000 : x
  2. Step 2: Convert to fraction form
    5,358.44/7,393.96 = 3,000/x
  3. Step 3: Cross multiply
    5,358.44x = 7,393.96 × 3,000
  4. Step 4: Simplify right side
    5,358.44x = 22,181,880
  5. Step 5: Solve for x
    x = 22,181,880/5,358.44
  6. Step 6: Final answer
    x = 4,139.62

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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.