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Finding the Fourth Proportional to 3,135.77, 4,703.66 and 1,286.54

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Solution

The fourth proportional to 3,135.77, 4,703.66 and 1,286.54 is: 1,929.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.77 : 4,703.66 = 1,286.54 : x
  2. Step 2: Convert to fraction form
    3,135.77/4,703.66 = 1,286.54/x
  3. Step 3: Cross multiply
    3,135.77x = 4,703.66 × 1,286.54
  4. Step 4: Simplify right side
    3,135.77x = 6,051,446.74
  5. Step 5: Solve for x
    x = 6,051,446.74/3,135.77
  6. Step 6: Final answer
    x = 1,929.81

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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.