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Finding the Fourth Proportional to 3,735.44, 5,595.28 and 1,785.68

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Solution

The fourth proportional to 3,735.44, 5,595.28 and 1,785.68 is: 2,674.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.44 : 5,595.28 = 1,785.68 : x
  2. Step 2: Convert to fraction form
    3,735.44/5,595.28 = 1,785.68/x
  3. Step 3: Cross multiply
    3,735.44x = 5,595.28 × 1,785.68
  4. Step 4: Simplify right side
    3,735.44x = 9,991,379.59
  5. Step 5: Solve for x
    x = 9,991,379.59/3,735.44
  6. Step 6: Final answer
    x = 2,674.75

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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.