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Finding the Fourth Proportional to 4,673.09, 6,448.06 and 2,784.44

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Solution

The fourth proportional to 4,673.09, 6,448.06 and 2,784.44 is: 3,842.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.09 : 6,448.06 = 2,784.44 : x
  2. Step 2: Convert to fraction form
    4,673.09/6,448.06 = 2,784.44/x
  3. Step 3: Cross multiply
    4,673.09x = 6,448.06 × 2,784.44
  4. Step 4: Simplify right side
    4,673.09x = 17,954,236.19
  5. Step 5: Solve for x
    x = 17,954,236.19/4,673.09
  6. Step 6: Final answer
    x = 3,842.05

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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.