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Finding the Fourth Proportional to 3,264.48, 4,893.28 and 1,072.64

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Solution

The fourth proportional to 3,264.48, 4,893.28 and 1,072.64 is: 1,607.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.48 : 4,893.28 = 1,072.64 : x
  2. Step 2: Convert to fraction form
    3,264.48/4,893.28 = 1,072.64/x
  3. Step 3: Cross multiply
    3,264.48x = 4,893.28 × 1,072.64
  4. Step 4: Simplify right side
    3,264.48x = 5,248,727.86
  5. Step 5: Solve for x
    x = 5,248,727.86/3,264.48
  6. Step 6: Final answer
    x = 1,607.83

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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.