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Finding the Fourth Proportional to 3,735.37, 5,602.52 and 1,269.83

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Solution

The fourth proportional to 3,735.37, 5,602.52 and 1,269.83 is: 1,904.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.37 : 5,602.52 = 1,269.83 : x
  2. Step 2: Convert to fraction form
    3,735.37/5,602.52 = 1,269.83/x
  3. Step 3: Cross multiply
    3,735.37x = 5,602.52 × 1,269.83
  4. Step 4: Simplify right side
    3,735.37x = 7,114,226.50
  5. Step 5: Solve for x
    x = 7,114,226.50/3,735.37
  6. Step 6: Final answer
    x = 1,904.56

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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.