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Finding the Fourth Proportional to 4,634.60, 6,395.14 and 2,842.88

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Solution

The fourth proportional to 4,634.60, 6,395.14 and 2,842.88 is: 3,922.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,634.60 : 6,395.14 = 2,842.88 : x
  2. Step 2: Convert to fraction form
    4,634.60/6,395.14 = 2,842.88/x
  3. Step 3: Cross multiply
    4,634.60x = 6,395.14 × 2,842.88
  4. Step 4: Simplify right side
    4,634.60x = 18,180,615.60
  5. Step 5: Solve for x
    x = 18,180,615.60/4,634.60
  6. Step 6: Final answer
    x = 3,922.80

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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.