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Finding the Fourth Proportional to 5,588.53, 8,382.79 and 1,428.54

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Solution

The fourth proportional to 5,588.53, 8,382.79 and 1,428.54 is: 2,142.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,588.53 : 8,382.79 = 1,428.54 : x
  2. Step 2: Convert to fraction form
    5,588.53/8,382.79 = 1,428.54/x
  3. Step 3: Cross multiply
    5,588.53x = 8,382.79 × 1,428.54
  4. Step 4: Simplify right side
    5,588.53x = 11,975,147.26
  5. Step 5: Solve for x
    x = 11,975,147.26/5,588.53
  6. Step 6: Final answer
    x = 2,142.81

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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.