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Finding the Fourth Proportional to 3,788.49, 5,683.65 and 1,323.33

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Solution

The fourth proportional to 3,788.49, 5,683.65 and 1,323.33 is: 1,985.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.49 : 5,683.65 = 1,323.33 : x
  2. Step 2: Convert to fraction form
    3,788.49/5,683.65 = 1,323.33/x
  3. Step 3: Cross multiply
    3,788.49x = 5,683.65 × 1,323.33
  4. Step 4: Simplify right side
    3,788.49x = 7,521,344.55
  5. Step 5: Solve for x
    x = 7,521,344.55/3,788.49
  6. Step 6: Final answer
    x = 1,985.31

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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.