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Finding the Fourth Proportional to 6,450.86, 8,903.50 and 4,185.29

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Solution

The fourth proportional to 6,450.86, 8,903.50 and 4,185.29 is: 5,776.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,450.86 : 8,903.50 = 4,185.29 : x
  2. Step 2: Convert to fraction form
    6,450.86/8,903.50 = 4,185.29/x
  3. Step 3: Cross multiply
    6,450.86x = 8,903.50 × 4,185.29
  4. Step 4: Simplify right side
    6,450.86x = 37,263,741.31
  5. Step 5: Solve for x
    x = 37,263,741.31/6,450.86
  6. Step 6: Final answer
    x = 5,776.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.