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Finding the Fourth Proportional to 4,008.64, 5,532 and 2,240.20

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Solution

The fourth proportional to 4,008.64, 5,532 and 2,240.20 is: 3,091.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,008.64 : 5,532 = 2,240.20 : x
  2. Step 2: Convert to fraction form
    4,008.64/5,532 = 2,240.20/x
  3. Step 3: Cross multiply
    4,008.64x = 5,532 × 2,240.20
  4. Step 4: Simplify right side
    4,008.64x = 12,392,786.40
  5. Step 5: Solve for x
    x = 12,392,786.40/4,008.64
  6. Step 6: Final answer
    x = 3,091.52

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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.