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Finding the Fourth Proportional to 3,955.32, 5,933 and 1,033.63

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Solution

The fourth proportional to 3,955.32, 5,933 and 1,033.63 is: 1,550.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,955.32 : 5,933 = 1,033.63 : x
  2. Step 2: Convert to fraction form
    3,955.32/5,933 = 1,033.63/x
  3. Step 3: Cross multiply
    3,955.32x = 5,933 × 1,033.63
  4. Step 4: Simplify right side
    3,955.32x = 6,132,526.79
  5. Step 5: Solve for x
    x = 6,132,526.79/3,955.32
  6. Step 6: Final answer
    x = 1,550.45

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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.