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Finding the Fourth Proportional to 5,735.80, 8,603.70 and 2,042.20

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Solution

The fourth proportional to 5,735.80, 8,603.70 and 2,042.20 is: 3,063.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.80 : 8,603.70 = 2,042.20 : x
  2. Step 2: Convert to fraction form
    5,735.80/8,603.70 = 2,042.20/x
  3. Step 3: Cross multiply
    5,735.80x = 8,603.70 × 2,042.20
  4. Step 4: Simplify right side
    5,735.80x = 17,570,476.14
  5. Step 5: Solve for x
    x = 17,570,476.14/5,735.80
  6. Step 6: Final answer
    x = 3,063.30

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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.