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Finding the Fourth Proportional to 5,710.49, 7,882.90 and 3,473.08

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Solution

The fourth proportional to 5,710.49, 7,882.90 and 3,473.08 is: 4,794.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.49 : 7,882.90 = 3,473.08 : x
  2. Step 2: Convert to fraction form
    5,710.49/7,882.90 = 3,473.08/x
  3. Step 3: Cross multiply
    5,710.49x = 7,882.90 × 3,473.08
  4. Step 4: Simplify right side
    5,710.49x = 27,377,942.33
  5. Step 5: Solve for x
    x = 27,377,942.33/5,710.49
  6. Step 6: Final answer
    x = 4,794.32

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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.