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Finding the Fourth Proportional to 3,343.82, 5,016.06 and 1,152.26

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Solution

The fourth proportional to 3,343.82, 5,016.06 and 1,152.26 is: 1,728.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,343.82 : 5,016.06 = 1,152.26 : x
  2. Step 2: Convert to fraction form
    3,343.82/5,016.06 = 1,152.26/x
  3. Step 3: Cross multiply
    3,343.82x = 5,016.06 × 1,152.26
  4. Step 4: Simplify right side
    3,343.82x = 5,779,780.22
  5. Step 5: Solve for x
    x = 5,779,780.22/3,343.82
  6. Step 6: Final answer
    x = 1,728.50

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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.