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Finding the Fourth Proportional to 4,960, 6,844.80 and 2,752

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Solution

The fourth proportional to 4,960, 6,844.80 and 2,752 is: 3,797.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,960 : 6,844.80 = 2,752 : x
  2. Step 2: Convert to fraction form
    4,960/6,844.80 = 2,752/x
  3. Step 3: Cross multiply
    4,960x = 6,844.80 × 2,752
  4. Step 4: Simplify right side
    4,960x = 18,836,889.60
  5. Step 5: Solve for x
    x = 18,836,889.60/4,960
  6. Step 6: Final answer
    x = 3,797.76

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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.