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Finding the Fourth Proportional to 4,324.80, 6,492 and 1,729.56

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Solution

The fourth proportional to 4,324.80, 6,492 and 1,729.56 is: 2,596.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,324.80 : 6,492 = 1,729.56 : x
  2. Step 2: Convert to fraction form
    4,324.80/6,492 = 1,729.56/x
  3. Step 3: Cross multiply
    4,324.80x = 6,492 × 1,729.56
  4. Step 4: Simplify right side
    4,324.80x = 11,228,303.52
  5. Step 5: Solve for x
    x = 11,228,303.52/4,324.80
  6. Step 6: Final answer
    x = 2,596.26

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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.