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Finding the Fourth Proportional to 3,225.57, 4,453.43 and 2,478.20

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Solution

The fourth proportional to 3,225.57, 4,453.43 and 2,478.20 is: 3,421.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225.57 : 4,453.43 = 2,478.20 : x
  2. Step 2: Convert to fraction form
    3,225.57/4,453.43 = 2,478.20/x
  3. Step 3: Cross multiply
    3,225.57x = 4,453.43 × 2,478.20
  4. Step 4: Simplify right side
    3,225.57x = 11,036,469.51
  5. Step 5: Solve for x
    x = 11,036,469.51/3,225.57
  6. Step 6: Final answer
    x = 3,421.55

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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.