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Finding the Fourth Proportional to 5,246.75, 7,871.34 and 1,784

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Solution

The fourth proportional to 5,246.75, 7,871.34 and 1,784 is: 2,676.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246.75 : 7,871.34 = 1,784 : x
  2. Step 2: Convert to fraction form
    5,246.75/7,871.34 = 1,784/x
  3. Step 3: Cross multiply
    5,246.75x = 7,871.34 × 1,784
  4. Step 4: Simplify right side
    5,246.75x = 14,042,470.56
  5. Step 5: Solve for x
    x = 14,042,470.56/5,246.75
  6. Step 6: Final answer
    x = 2,676.41

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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.