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Finding the Fourth Proportional to 3,267.84, 4,907.52 and 1,729.92

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Solution

The fourth proportional to 3,267.84, 4,907.52 and 1,729.92 is: 2,597.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.84 : 4,907.52 = 1,729.92 : x
  2. Step 2: Convert to fraction form
    3,267.84/4,907.52 = 1,729.92/x
  3. Step 3: Cross multiply
    3,267.84x = 4,907.52 × 1,729.92
  4. Step 4: Simplify right side
    3,267.84x = 8,489,617.00
  5. Step 5: Solve for x
    x = 8,489,617.00/3,267.84
  6. Step 6: Final answer
    x = 2,597.93

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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.