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Finding the Fourth Proportional to 5,205.53, 7,808.30 and 2,283.61

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Solution

The fourth proportional to 5,205.53, 7,808.30 and 2,283.61 is: 3,425.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.53 : 7,808.30 = 2,283.61 : x
  2. Step 2: Convert to fraction form
    5,205.53/7,808.30 = 2,283.61/x
  3. Step 3: Cross multiply
    5,205.53x = 7,808.30 × 2,283.61
  4. Step 4: Simplify right side
    5,205.53x = 17,831,104.23
  5. Step 5: Solve for x
    x = 17,831,104.23/5,205.53
  6. Step 6: Final answer
    x = 3,425.41

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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.