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Finding the Fourth Proportional to 5,661.30, 7,813.08 and 3,144.23

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Solution

The fourth proportional to 5,661.30, 7,813.08 and 3,144.23 is: 4,339.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.30 : 7,813.08 = 3,144.23 : x
  2. Step 2: Convert to fraction form
    5,661.30/7,813.08 = 3,144.23/x
  3. Step 3: Cross multiply
    5,661.30x = 7,813.08 × 3,144.23
  4. Step 4: Simplify right side
    5,661.30x = 24,566,081.46
  5. Step 5: Solve for x
    x = 24,566,081.46/5,661.30
  6. Step 6: Final answer
    x = 4,339.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.