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Finding the Fourth Proportional to 4,298.44, 6,448.01 and 1,833.29

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Solution

The fourth proportional to 4,298.44, 6,448.01 and 1,833.29 is: 2,750.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,298.44 : 6,448.01 = 1,833.29 : x
  2. Step 2: Convert to fraction form
    4,298.44/6,448.01 = 1,833.29/x
  3. Step 3: Cross multiply
    4,298.44x = 6,448.01 × 1,833.29
  4. Step 4: Simplify right side
    4,298.44x = 11,821,072.25
  5. Step 5: Solve for x
    x = 11,821,072.25/4,298.44
  6. Step 6: Final answer
    x = 2,750.08

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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.