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Finding the Fourth Proportional to 3,485.68, 5,225.80 and 1,144.21

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Solution

The fourth proportional to 3,485.68, 5,225.80 and 1,144.21 is: 1,715.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.68 : 5,225.80 = 1,144.21 : x
  2. Step 2: Convert to fraction form
    3,485.68/5,225.80 = 1,144.21/x
  3. Step 3: Cross multiply
    3,485.68x = 5,225.80 × 1,144.21
  4. Step 4: Simplify right side
    3,485.68x = 5,979,412.62
  5. Step 5: Solve for x
    x = 5,979,412.62/3,485.68
  6. Step 6: Final answer
    x = 1,715.42

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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.