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Finding the Fourth Proportional to 4,736.69, 6,533.95 and 2,965.22

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Solution

The fourth proportional to 4,736.69, 6,533.95 and 2,965.22 is: 4,090.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736.69 : 6,533.95 = 2,965.22 : x
  2. Step 2: Convert to fraction form
    4,736.69/6,533.95 = 2,965.22/x
  3. Step 3: Cross multiply
    4,736.69x = 6,533.95 × 2,965.22
  4. Step 4: Simplify right side
    4,736.69x = 19,374,599.22
  5. Step 5: Solve for x
    x = 19,374,599.22/4,736.69
  6. Step 6: Final answer
    x = 4,090.32

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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.