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Finding the Fourth Proportional to 5,661.68, 7,813.52 and 3,144.04

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Solution

The fourth proportional to 5,661.68, 7,813.52 and 3,144.04 is: 4,339.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.68 : 7,813.52 = 3,144.04 : x
  2. Step 2: Convert to fraction form
    5,661.68/7,813.52 = 3,144.04/x
  3. Step 3: Cross multiply
    5,661.68x = 7,813.52 × 3,144.04
  4. Step 4: Simplify right side
    5,661.68x = 24,566,019.42
  5. Step 5: Solve for x
    x = 24,566,019.42/5,661.68
  6. Step 6: Final answer
    x = 4,339.00

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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.