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Finding the Fourth Proportional to 4,272.88, 6,405.42 and 1,497.64

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Solution

The fourth proportional to 4,272.88, 6,405.42 and 1,497.64 is: 2,245.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,272.88 : 6,405.42 = 1,497.64 : x
  2. Step 2: Convert to fraction form
    4,272.88/6,405.42 = 1,497.64/x
  3. Step 3: Cross multiply
    4,272.88x = 6,405.42 × 1,497.64
  4. Step 4: Simplify right side
    4,272.88x = 9,593,013.21
  5. Step 5: Solve for x
    x = 9,593,013.21/4,272.88
  6. Step 6: Final answer
    x = 2,245.09

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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.