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Finding the Fourth Proportional to 3,735.52, 5,600.52 and 1,269.68

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Solution

The fourth proportional to 3,735.52, 5,600.52 and 1,269.68 is: 1,903.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.52 : 5,600.52 = 1,269.68 : x
  2. Step 2: Convert to fraction form
    3,735.52/5,600.52 = 1,269.68/x
  3. Step 3: Cross multiply
    3,735.52x = 5,600.52 × 1,269.68
  4. Step 4: Simplify right side
    3,735.52x = 7,110,868.23
  5. Step 5: Solve for x
    x = 7,110,868.23/3,735.52
  6. Step 6: Final answer
    x = 1,903.58

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