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Finding the Fourth Proportional to 3,672.28, 5,509.50 and 2,443.24

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Solution

The fourth proportional to 3,672.28, 5,509.50 and 2,443.24 is: 3,665.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.28 : 5,509.50 = 2,443.24 : x
  2. Step 2: Convert to fraction form
    3,672.28/5,509.50 = 2,443.24/x
  3. Step 3: Cross multiply
    3,672.28x = 5,509.50 × 2,443.24
  4. Step 4: Simplify right side
    3,672.28x = 13,461,030.78
  5. Step 5: Solve for x
    x = 13,461,030.78/3,672.28
  6. Step 6: Final answer
    x = 3,665.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.