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Finding the Fourth Proportional to 3,672.14, 5,509.84 and 1,485.14

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Solution

The fourth proportional to 3,672.14, 5,509.84 and 1,485.14 is: 2,228.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.14 : 5,509.84 = 1,485.14 : x
  2. Step 2: Convert to fraction form
    3,672.14/5,509.84 = 1,485.14/x
  3. Step 3: Cross multiply
    3,672.14x = 5,509.84 × 1,485.14
  4. Step 4: Simplify right side
    3,672.14x = 8,182,883.78
  5. Step 5: Solve for x
    x = 8,182,883.78/3,672.14
  6. Step 6: Final answer
    x = 2,228.37

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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.