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Finding the Fourth Proportional to 3,225.62, 4,453.56 and 2,164.98

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Solution

The fourth proportional to 3,225.62, 4,453.56 and 2,164.98 is: 2,989.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225.62 : 4,453.56 = 2,164.98 : x
  2. Step 2: Convert to fraction form
    3,225.62/4,453.56 = 2,164.98/x
  3. Step 3: Cross multiply
    3,225.62x = 4,453.56 × 2,164.98
  4. Step 4: Simplify right side
    3,225.62x = 9,641,853.89
  5. Step 5: Solve for x
    x = 9,641,853.89/3,225.62
  6. Step 6: Final answer
    x = 2,989.15

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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.