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Finding the Fourth Proportional to 3,735.93, 5,602.58 and 1,102.73

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Solution

The fourth proportional to 3,735.93, 5,602.58 and 1,102.73 is: 1,653.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.93 : 5,602.58 = 1,102.73 : x
  2. Step 2: Convert to fraction form
    3,735.93/5,602.58 = 1,102.73/x
  3. Step 3: Cross multiply
    3,735.93x = 5,602.58 × 1,102.73
  4. Step 4: Simplify right side
    3,735.93x = 6,178,133.04
  5. Step 5: Solve for x
    x = 6,178,133.04/3,735.93
  6. Step 6: Final answer
    x = 1,653.71

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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.