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Finding the Fourth Proportional to 3,148.86, 4,723.86 and 2,569

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Solution

The fourth proportional to 3,148.86, 4,723.86 and 2,569 is: 3,853.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148.86 : 4,723.86 = 2,569 : x
  2. Step 2: Convert to fraction form
    3,148.86/4,723.86 = 2,569/x
  3. Step 3: Cross multiply
    3,148.86x = 4,723.86 × 2,569
  4. Step 4: Simplify right side
    3,148.86x = 12,135,596.34
  5. Step 5: Solve for x
    x = 12,135,596.34/3,148.86
  6. Step 6: Final answer
    x = 3,853.97

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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.