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Finding the Fourth Proportional to 3,135.50, 4,703.10 and 795.57

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Solution

The fourth proportional to 3,135.50, 4,703.10 and 795.57 is: 1,193.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.50 : 4,703.10 = 795.57 : x
  2. Step 2: Convert to fraction form
    3,135.50/4,703.10 = 795.57/x
  3. Step 3: Cross multiply
    3,135.50x = 4,703.10 × 795.57
  4. Step 4: Simplify right side
    3,135.50x = 3,741,645.27
  5. Step 5: Solve for x
    x = 3,741,645.27/3,135.50
  6. Step 6: Final answer
    x = 1,193.32

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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.