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Finding the Fourth Proportional to 4,533.44, 6,788.64 and 2,336

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Solution

The fourth proportional to 4,533.44, 6,788.64 and 2,336 is: 3,498.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,533.44 : 6,788.64 = 2,336 : x
  2. Step 2: Convert to fraction form
    4,533.44/6,788.64 = 2,336/x
  3. Step 3: Cross multiply
    4,533.44x = 6,788.64 × 2,336
  4. Step 4: Simplify right side
    4,533.44x = 15,858,263.04
  5. Step 5: Solve for x
    x = 15,858,263.04/4,533.44
  6. Step 6: Final answer
    x = 3,498.06

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