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Finding the Fourth Proportional to 3,790.53, 5,685.33 and 1,017.41

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Solution

The fourth proportional to 3,790.53, 5,685.33 and 1,017.41 is: 1,525.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790.53 : 5,685.33 = 1,017.41 : x
  2. Step 2: Convert to fraction form
    3,790.53/5,685.33 = 1,017.41/x
  3. Step 3: Cross multiply
    3,790.53x = 5,685.33 × 1,017.41
  4. Step 4: Simplify right side
    3,790.53x = 5,784,311.60
  5. Step 5: Solve for x
    x = 5,784,311.60/3,790.53
  6. Step 6: Final answer
    x = 1,525.99

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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.