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Finding the Fourth Proportional to 5,570, 8,357.88 and 2,834

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Solution

The fourth proportional to 5,570, 8,357.88 and 2,834 is: 4,252.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,570 : 8,357.88 = 2,834 : x
  2. Step 2: Convert to fraction form
    5,570/8,357.88 = 2,834/x
  3. Step 3: Cross multiply
    5,570x = 8,357.88 × 2,834
  4. Step 4: Simplify right side
    5,570x = 23,686,231.92
  5. Step 5: Solve for x
    x = 23,686,231.92/5,570
  6. Step 6: Final answer
    x = 4,252.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.