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Finding the Fourth Proportional to 3,955.77, 5,933.66 and 1,034.06

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Solution

The fourth proportional to 3,955.77, 5,933.66 and 1,034.06 is: 1,551.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,955.77 : 5,933.66 = 1,034.06 : x
  2. Step 2: Convert to fraction form
    3,955.77/5,933.66 = 1,034.06/x
  3. Step 3: Cross multiply
    3,955.77x = 5,933.66 × 1,034.06
  4. Step 4: Simplify right side
    3,955.77x = 6,135,725.62
  5. Step 5: Solve for x
    x = 6,135,725.62/3,955.77
  6. Step 6: Final answer
    x = 1,551.08

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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.