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Finding the Fourth Proportional to 5,193.07, 7,790.64 and 1,683.97

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Solution

The fourth proportional to 5,193.07, 7,790.64 and 1,683.97 is: 2,526.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.07 : 7,790.64 = 1,683.97 : x
  2. Step 2: Convert to fraction form
    5,193.07/7,790.64 = 1,683.97/x
  3. Step 3: Cross multiply
    5,193.07x = 7,790.64 × 1,683.97
  4. Step 4: Simplify right side
    5,193.07x = 13,119,204.04
  5. Step 5: Solve for x
    x = 13,119,204.04/5,193.07
  6. Step 6: Final answer
    x = 2,526.29

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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.