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Finding the Fourth Proportional to 4,683.58, 7,029.46 and 3,650.22

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Solution

The fourth proportional to 4,683.58, 7,029.46 and 3,650.22 is: 5,478.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,683.58 : 7,029.46 = 3,650.22 : x
  2. Step 2: Convert to fraction form
    4,683.58/7,029.46 = 3,650.22/x
  3. Step 3: Cross multiply
    4,683.58x = 7,029.46 × 3,650.22
  4. Step 4: Simplify right side
    4,683.58x = 25,659,075.48
  5. Step 5: Solve for x
    x = 25,659,075.48/4,683.58
  6. Step 6: Final answer
    x = 5,478.52

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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.