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Finding the Fourth Proportional to 5,788.75, 8,683.53 and 2,326

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Solution

The fourth proportional to 5,788.75, 8,683.53 and 2,326 is: 3,489.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788.75 : 8,683.53 = 2,326 : x
  2. Step 2: Convert to fraction form
    5,788.75/8,683.53 = 2,326/x
  3. Step 3: Cross multiply
    5,788.75x = 8,683.53 × 2,326
  4. Step 4: Simplify right side
    5,788.75x = 20,197,890.78
  5. Step 5: Solve for x
    x = 20,197,890.78/5,788.75
  6. Step 6: Final answer
    x = 3,489.16

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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.