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Finding the Fourth Proportional to 3,474.33, 5,210.19 and 1,133.79

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Solution

The fourth proportional to 3,474.33, 5,210.19 and 1,133.79 is: 1,700.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.33 : 5,210.19 = 1,133.79 : x
  2. Step 2: Convert to fraction form
    3,474.33/5,210.19 = 1,133.79/x
  3. Step 3: Cross multiply
    3,474.33x = 5,210.19 × 1,133.79
  4. Step 4: Simplify right side
    3,474.33x = 5,907,261.32
  5. Step 5: Solve for x
    x = 5,907,261.32/3,474.33
  6. Step 6: Final answer
    x = 1,700.26

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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.