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Finding the Fourth Proportional to 3,616.06, 5,424.92 and 1,307.56

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Solution

The fourth proportional to 3,616.06, 5,424.92 and 1,307.56 is: 1,961.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.06 : 5,424.92 = 1,307.56 : x
  2. Step 2: Convert to fraction form
    3,616.06/5,424.92 = 1,307.56/x
  3. Step 3: Cross multiply
    3,616.06x = 5,424.92 × 1,307.56
  4. Step 4: Simplify right side
    3,616.06x = 7,093,408.40
  5. Step 5: Solve for x
    x = 7,093,408.40/3,616.06
  6. Step 6: Final answer
    x = 1,961.64

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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.