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Finding the Fourth Proportional to 3,783.05, 5,675.99 and 1,702.43

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Solution

The fourth proportional to 3,783.05, 5,675.99 and 1,702.43 is: 2,554.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.05 : 5,675.99 = 1,702.43 : x
  2. Step 2: Convert to fraction form
    3,783.05/5,675.99 = 1,702.43/x
  3. Step 3: Cross multiply
    3,783.05x = 5,675.99 × 1,702.43
  4. Step 4: Simplify right side
    3,783.05x = 9,662,938.76
  5. Step 5: Solve for x
    x = 9,662,938.76/3,783.05
  6. Step 6: Final answer
    x = 2,554.28

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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.