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Finding the Fourth Proportional to 5,735.46, 8,603.62 and 1,839.64

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Solution

The fourth proportional to 5,735.46, 8,603.62 and 1,839.64 is: 2,759.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.46 : 8,603.62 = 1,839.64 : x
  2. Step 2: Convert to fraction form
    5,735.46/8,603.62 = 1,839.64/x
  3. Step 3: Cross multiply
    5,735.46x = 8,603.62 × 1,839.64
  4. Step 4: Simplify right side
    5,735.46x = 15,827,563.50
  5. Step 5: Solve for x
    x = 15,827,563.50/5,735.46
  6. Step 6: Final answer
    x = 2,759.60

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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.