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Finding the Fourth Proportional to 3,205.53, 4,797.95 and 2,902.41

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Solution

The fourth proportional to 3,205.53, 4,797.95 and 2,902.41 is: 4,344.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.53 : 4,797.95 = 2,902.41 : x
  2. Step 2: Convert to fraction form
    3,205.53/4,797.95 = 2,902.41/x
  3. Step 3: Cross multiply
    3,205.53x = 4,797.95 × 2,902.41
  4. Step 4: Simplify right side
    3,205.53x = 13,925,603.55
  5. Step 5: Solve for x
    x = 13,925,603.55/3,205.53
  6. Step 6: Final answer
    x = 4,344.24

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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.