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Finding the Fourth Proportional to 4.49, 6.19 and 4.00

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Solution

The fourth proportional to 4.49, 6.19 and 4.00 is: 5.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.49 : 6.19 = 4.00 : x
  2. Step 2: Convert to fraction form
    4.49/6.19 = 4.00/x
  3. Step 3: Cross multiply
    4.49x = 6.19 × 4.00
  4. Step 4: Simplify right side
    4.49x = 24.77
  5. Step 5: Solve for x
    x = 24.77/4.49
  6. Step 6: Final answer
    x = 5.52

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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.