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Finding the Fourth Proportional to 6,276.15, 8,661.34 and 3,443.65

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Solution

The fourth proportional to 6,276.15, 8,661.34 and 3,443.65 is: 4,752.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,276.15 : 8,661.34 = 3,443.65 : x
  2. Step 2: Convert to fraction form
    6,276.15/8,661.34 = 3,443.65/x
  3. Step 3: Cross multiply
    6,276.15x = 8,661.34 × 3,443.65
  4. Step 4: Simplify right side
    6,276.15x = 29,826,586.77
  5. Step 5: Solve for x
    x = 29,826,586.77/6,276.15
  6. Step 6: Final answer
    x = 4,752.37

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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.