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Finding the Fourth Proportional to 3,607.85, 5,412.39 and 1,143.23

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Solution

The fourth proportional to 3,607.85, 5,412.39 and 1,143.23 is: 1,715.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.85 : 5,412.39 = 1,143.23 : x
  2. Step 2: Convert to fraction form
    3,607.85/5,412.39 = 1,143.23/x
  3. Step 3: Cross multiply
    3,607.85x = 5,412.39 × 1,143.23
  4. Step 4: Simplify right side
    3,607.85x = 6,187,575.27
  5. Step 5: Solve for x
    x = 6,187,575.27/3,607.85
  6. Step 6: Final answer
    x = 1,715.03

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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.