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Finding the Fourth Proportional to 4,918, 6,786.84 and 2,710

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Solution

The fourth proportional to 4,918, 6,786.84 and 2,710 is: 3,739.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,918 : 6,786.84 = 2,710 : x
  2. Step 2: Convert to fraction form
    4,918/6,786.84 = 2,710/x
  3. Step 3: Cross multiply
    4,918x = 6,786.84 × 2,710
  4. Step 4: Simplify right side
    4,918x = 18,392,336.40
  5. Step 5: Solve for x
    x = 18,392,336.40/4,918
  6. Step 6: Final answer
    x = 3,739.80

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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.