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Finding the Fourth Proportional to 3,218.64, 4,442.16 and 1,821.36

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Solution

The fourth proportional to 3,218.64, 4,442.16 and 1,821.36 is: 2,513.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.64 : 4,442.16 = 1,821.36 : x
  2. Step 2: Convert to fraction form
    3,218.64/4,442.16 = 1,821.36/x
  3. Step 3: Cross multiply
    3,218.64x = 4,442.16 × 1,821.36
  4. Step 4: Simplify right side
    3,218.64x = 8,090,772.54
  5. Step 5: Solve for x
    x = 8,090,772.54/3,218.64
  6. Step 6: Final answer
    x = 2,513.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.