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Finding the Fourth Proportional to 3,813.30, 5,720.58 and 1,347.48

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Solution

The fourth proportional to 3,813.30, 5,720.58 and 1,347.48 is: 2,021.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.30 : 5,720.58 = 1,347.48 : x
  2. Step 2: Convert to fraction form
    3,813.30/5,720.58 = 1,347.48/x
  3. Step 3: Cross multiply
    3,813.30x = 5,720.58 × 1,347.48
  4. Step 4: Simplify right side
    3,813.30x = 7,708,367.14
  5. Step 5: Solve for x
    x = 7,708,367.14/3,813.30
  6. Step 6: Final answer
    x = 2,021.44

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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.