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Finding the Fourth Proportional to 5,843.28, 8,765.04 and 1,683.60

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Solution

The fourth proportional to 5,843.28, 8,765.04 and 1,683.60 is: 2,525.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.28 : 8,765.04 = 1,683.60 : x
  2. Step 2: Convert to fraction form
    5,843.28/8,765.04 = 1,683.60/x
  3. Step 3: Cross multiply
    5,843.28x = 8,765.04 × 1,683.60
  4. Step 4: Simplify right side
    5,843.28x = 14,756,821.34
  5. Step 5: Solve for x
    x = 14,756,821.34/5,843.28
  6. Step 6: Final answer
    x = 2,525.43

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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.