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Finding the Fourth Proportional to 3,683.09, 5,525.46 and 1,737.47

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Solution

The fourth proportional to 3,683.09, 5,525.46 and 1,737.47 is: 2,606.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683.09 : 5,525.46 = 1,737.47 : x
  2. Step 2: Convert to fraction form
    3,683.09/5,525.46 = 1,737.47/x
  3. Step 3: Cross multiply
    3,683.09x = 5,525.46 × 1,737.47
  4. Step 4: Simplify right side
    3,683.09x = 9,600,334.80
  5. Step 5: Solve for x
    x = 9,600,334.80/3,683.09
  6. Step 6: Final answer
    x = 2,606.60

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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.