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Finding the Fourth Proportional to 3,602.37, 5,403.86 and 1,136.53

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Solution

The fourth proportional to 3,602.37, 5,403.86 and 1,136.53 is: 1,704.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.37 : 5,403.86 = 1,136.53 : x
  2. Step 2: Convert to fraction form
    3,602.37/5,403.86 = 1,136.53/x
  3. Step 3: Cross multiply
    3,602.37x = 5,403.86 × 1,136.53
  4. Step 4: Simplify right side
    3,602.37x = 6,141,660.73
  5. Step 5: Solve for x
    x = 6,141,660.73/3,602.37
  6. Step 6: Final answer
    x = 1,704.89

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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.