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Finding the Fourth Proportional to 5,193.04, 7,790.80 and 1,683.05

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Solution

The fourth proportional to 5,193.04, 7,790.80 and 1,683.05 is: 2,524.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.04 : 7,790.80 = 1,683.05 : x
  2. Step 2: Convert to fraction form
    5,193.04/7,790.80 = 1,683.05/x
  3. Step 3: Cross multiply
    5,193.04x = 7,790.80 × 1,683.05
  4. Step 4: Simplify right side
    5,193.04x = 13,112,258.57
  5. Step 5: Solve for x
    x = 13,112,258.57/5,193.04
  6. Step 6: Final answer
    x = 2,524.97

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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.