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Finding the Fourth Proportional to 3,135.77, 4,703.11 and 1,285.73

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Solution

The fourth proportional to 3,135.77, 4,703.11 and 1,285.73 is: 1,928.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.77 : 4,703.11 = 1,285.73 : x
  2. Step 2: Convert to fraction form
    3,135.77/4,703.11 = 1,285.73/x
  3. Step 3: Cross multiply
    3,135.77x = 4,703.11 × 1,285.73
  4. Step 4: Simplify right side
    3,135.77x = 6,046,929.62
  5. Step 5: Solve for x
    x = 6,046,929.62/3,135.77
  6. Step 6: Final answer
    x = 1,928.37

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1.5x scale

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.