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Finding the Fourth Proportional to 6,305.12, 8,703.94 and 3,652

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Solution

The fourth proportional to 6,305.12, 8,703.94 and 3,652 is: 5,041.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.12 : 8,703.94 = 3,652 : x
  2. Step 2: Convert to fraction form
    6,305.12/8,703.94 = 3,652/x
  3. Step 3: Cross multiply
    6,305.12x = 8,703.94 × 3,652
  4. Step 4: Simplify right side
    6,305.12x = 31,786,788.88
  5. Step 5: Solve for x
    x = 31,786,788.88/6,305.12
  6. Step 6: Final answer
    x = 5,041.42

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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.