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Finding the Fourth Proportional to 4,965.19, 7,449.21 and 4,049.41

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Solution

The fourth proportional to 4,965.19, 7,449.21 and 4,049.41 is: 6,075.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.19 : 7,449.21 = 4,049.41 : x
  2. Step 2: Convert to fraction form
    4,965.19/7,449.21 = 4,049.41/x
  3. Step 3: Cross multiply
    4,965.19x = 7,449.21 × 4,049.41
  4. Step 4: Simplify right side
    4,965.19x = 30,164,905.47
  5. Step 5: Solve for x
    x = 30,164,905.47/4,965.19
  6. Step 6: Final answer
    x = 6,075.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.