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Finding the Fourth Proportional to 3,237.59, 4,857.08 and 1,157.69

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Solution

The fourth proportional to 3,237.59, 4,857.08 and 1,157.69 is: 1,736.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,237.59 : 4,857.08 = 1,157.69 : x
  2. Step 2: Convert to fraction form
    3,237.59/4,857.08 = 1,157.69/x
  3. Step 3: Cross multiply
    3,237.59x = 4,857.08 × 1,157.69
  4. Step 4: Simplify right side
    3,237.59x = 5,622,962.87
  5. Step 5: Solve for x
    x = 5,622,962.87/3,237.59
  6. Step 6: Final answer
    x = 1,736.78

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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.