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Finding the Fourth Proportional to 5,661.84, 7,817.16 and 4,171.44

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Solution

The fourth proportional to 5,661.84, 7,817.16 and 4,171.44 is: 5,759.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.84 : 7,817.16 = 4,171.44 : x
  2. Step 2: Convert to fraction form
    5,661.84/7,817.16 = 4,171.44/x
  3. Step 3: Cross multiply
    5,661.84x = 7,817.16 × 4,171.44
  4. Step 4: Simplify right side
    5,661.84x = 32,608,813.91
  5. Step 5: Solve for x
    x = 32,608,813.91/5,661.84
  6. Step 6: Final answer
    x = 5,759.40

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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.