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Finding the Fourth Proportional to 3,823.40, 5,735.10 and 3,405.80

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Solution

The fourth proportional to 3,823.40, 5,735.10 and 3,405.80 is: 5,108.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.40 : 5,735.10 = 3,405.80 : x
  2. Step 2: Convert to fraction form
    3,823.40/5,735.10 = 3,405.80/x
  3. Step 3: Cross multiply
    3,823.40x = 5,735.10 × 3,405.80
  4. Step 4: Simplify right side
    3,823.40x = 19,532,603.58
  5. Step 5: Solve for x
    x = 19,532,603.58/3,823.40
  6. Step 6: Final answer
    x = 5,108.70

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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.