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Finding the Fourth Proportional to 5,661.86, 7,813.56 and 3,144.01

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Solution

The fourth proportional to 5,661.86, 7,813.56 and 3,144.01 is: 4,338.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.86 : 7,813.56 = 3,144.01 : x
  2. Step 2: Convert to fraction form
    5,661.86/7,813.56 = 3,144.01/x
  3. Step 3: Cross multiply
    5,661.86x = 7,813.56 × 3,144.01
  4. Step 4: Simplify right side
    5,661.86x = 24,565,891.24
  5. Step 5: Solve for x
    x = 24,565,891.24/5,661.86
  6. Step 6: Final answer
    x = 4,338.84

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1.5x scale

Why These Related Problems?

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