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Finding the Fourth Proportional to 3,783.95, 5,675.94 and 1,703.57

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Solution

The fourth proportional to 3,783.95, 5,675.94 and 1,703.57 is: 2,555.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.95 : 5,675.94 = 1,703.57 : x
  2. Step 2: Convert to fraction form
    3,783.95/5,675.94 = 1,703.57/x
  3. Step 3: Cross multiply
    3,783.95x = 5,675.94 × 1,703.57
  4. Step 4: Simplify right side
    3,783.95x = 9,669,375.30
  5. Step 5: Solve for x
    x = 9,669,375.30/3,783.95
  6. Step 6: Final answer
    x = 2,555.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.