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Finding the Fourth Proportional to 6,486.45, 8,949.68 and 3,653.25

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Solution

The fourth proportional to 6,486.45, 8,949.68 and 3,653.25 is: 5,040.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.45 : 8,949.68 = 3,653.25 : x
  2. Step 2: Convert to fraction form
    6,486.45/8,949.68 = 3,653.25/x
  3. Step 3: Cross multiply
    6,486.45x = 8,949.68 × 3,653.25
  4. Step 4: Simplify right side
    6,486.45x = 32,695,400.19
  5. Step 5: Solve for x
    x = 32,695,400.19/6,486.45
  6. Step 6: Final answer
    x = 5,040.57

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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.