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Finding the Fourth Proportional to 5,736.06, 7,918.74 and 4,457.09

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Solution

The fourth proportional to 5,736.06, 7,918.74 and 4,457.09 is: 6,153.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.06 : 7,918.74 = 4,457.09 : x
  2. Step 2: Convert to fraction form
    5,736.06/7,918.74 = 4,457.09/x
  3. Step 3: Cross multiply
    5,736.06x = 7,918.74 × 4,457.09
  4. Step 4: Simplify right side
    5,736.06x = 35,294,497.27
  5. Step 5: Solve for x
    x = 35,294,497.27/5,736.06
  6. Step 6: Final answer
    x = 6,153.09

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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.