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Finding the Fourth Proportional to 3,980.64, 5,493.36 and 2,212.40

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Solution

The fourth proportional to 3,980.64, 5,493.36 and 2,212.40 is: 3,053.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.64 : 5,493.36 = 2,212.40 : x
  2. Step 2: Convert to fraction form
    3,980.64/5,493.36 = 2,212.40/x
  3. Step 3: Cross multiply
    3,980.64x = 5,493.36 × 2,212.40
  4. Step 4: Simplify right side
    3,980.64x = 12,153,509.66
  5. Step 5: Solve for x
    x = 12,153,509.66/3,980.64
  6. Step 6: Final answer
    x = 3,053.15

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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.