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Finding the Fourth Proportional to 4,846.34, 6,641.37 and 4,379.78

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Solution

The fourth proportional to 4,846.34, 6,641.37 and 4,379.78 is: 6,002.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,846.34 : 6,641.37 = 4,379.78 : x
  2. Step 2: Convert to fraction form
    4,846.34/6,641.37 = 4,379.78/x
  3. Step 3: Cross multiply
    4,846.34x = 6,641.37 × 4,379.78
  4. Step 4: Simplify right side
    4,846.34x = 29,087,739.50
  5. Step 5: Solve for x
    x = 29,087,739.50/4,846.34
  6. Step 6: Final answer
    x = 6,002.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.