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Finding the Fourth Proportional to 3,505.28, 5,259.12 and 1,558.84

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Solution

The fourth proportional to 3,505.28, 5,259.12 and 1,558.84 is: 2,338.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.28 : 5,259.12 = 1,558.84 : x
  2. Step 2: Convert to fraction form
    3,505.28/5,259.12 = 1,558.84/x
  3. Step 3: Cross multiply
    3,505.28x = 5,259.12 × 1,558.84
  4. Step 4: Simplify right side
    3,505.28x = 8,198,126.62
  5. Step 5: Solve for x
    x = 8,198,126.62/3,505.28
  6. Step 6: Final answer
    x = 2,338.79

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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.