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Finding the Fourth Proportional to 4,007.80, 5,532.24 and 2,435.50

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Solution

The fourth proportional to 4,007.80, 5,532.24 and 2,435.50 is: 3,361.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,007.80 : 5,532.24 = 2,435.50 : x
  2. Step 2: Convert to fraction form
    4,007.80/5,532.24 = 2,435.50/x
  3. Step 3: Cross multiply
    4,007.80x = 5,532.24 × 2,435.50
  4. Step 4: Simplify right side
    4,007.80x = 13,473,770.52
  5. Step 5: Solve for x
    x = 13,473,770.52/4,007.80
  6. Step 6: Final answer
    x = 3,361.89

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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.