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Finding the Fourth Proportional to 3,535.67, 5,304.26 and 1,037.06

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Solution

The fourth proportional to 3,535.67, 5,304.26 and 1,037.06 is: 1,555.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.67 : 5,304.26 = 1,037.06 : x
  2. Step 2: Convert to fraction form
    3,535.67/5,304.26 = 1,037.06/x
  3. Step 3: Cross multiply
    3,535.67x = 5,304.26 × 1,037.06
  4. Step 4: Simplify right side
    3,535.67x = 5,500,809.35
  5. Step 5: Solve for x
    x = 5,500,809.35/3,535.67
  6. Step 6: Final answer
    x = 1,555.81

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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.