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Finding the Fourth Proportional to 3,448.37, 5,169.63 and 1,573.59

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Solution

The fourth proportional to 3,448.37, 5,169.63 and 1,573.59 is: 2,359.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.37 : 5,169.63 = 1,573.59 : x
  2. Step 2: Convert to fraction form
    3,448.37/5,169.63 = 1,573.59/x
  3. Step 3: Cross multiply
    3,448.37x = 5,169.63 × 1,573.59
  4. Step 4: Simplify right side
    3,448.37x = 8,134,878.07
  5. Step 5: Solve for x
    x = 8,134,878.07/3,448.37
  6. Step 6: Final answer
    x = 2,359.05

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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.