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Finding the Fourth Proportional to 5,393.49, 7,442.94 and 3,035.64

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Solution

The fourth proportional to 5,393.49, 7,442.94 and 3,035.64 is: 4,189.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,393.49 : 7,442.94 = 3,035.64 : x
  2. Step 2: Convert to fraction form
    5,393.49/7,442.94 = 3,035.64/x
  3. Step 3: Cross multiply
    5,393.49x = 7,442.94 × 3,035.64
  4. Step 4: Simplify right side
    5,393.49x = 22,594,086.38
  5. Step 5: Solve for x
    x = 22,594,086.38/5,393.49
  6. Step 6: Final answer
    x = 4,189.14

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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.