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Finding the Fourth Proportional to 5,199.56, 7,797.72 and 1,736

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Solution

The fourth proportional to 5,199.56, 7,797.72 and 1,736 is: 2,603.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.56 : 7,797.72 = 1,736 : x
  2. Step 2: Convert to fraction form
    5,199.56/7,797.72 = 1,736/x
  3. Step 3: Cross multiply
    5,199.56x = 7,797.72 × 1,736
  4. Step 4: Simplify right side
    5,199.56x = 13,536,841.92
  5. Step 5: Solve for x
    x = 13,536,841.92/5,199.56
  6. Step 6: Final answer
    x = 2,603.46

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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.