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Finding the Fourth Proportional to 4,133.04, 6,202.44 and 1,823.28

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Solution

The fourth proportional to 4,133.04, 6,202.44 and 1,823.28 is: 2,736.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,133.04 : 6,202.44 = 1,823.28 : x
  2. Step 2: Convert to fraction form
    4,133.04/6,202.44 = 1,823.28/x
  3. Step 3: Cross multiply
    4,133.04x = 6,202.44 × 1,823.28
  4. Step 4: Simplify right side
    4,133.04x = 11,308,784.80
  5. Step 5: Solve for x
    x = 11,308,784.80/4,133.04
  6. Step 6: Final answer
    x = 2,736.19

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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.