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Finding the Fourth Proportional to 6,448.36, 8,899.48 and 3,616.50

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Solution

The fourth proportional to 6,448.36, 8,899.48 and 3,616.50 is: 4,991.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.36 : 8,899.48 = 3,616.50 : x
  2. Step 2: Convert to fraction form
    6,448.36/8,899.48 = 3,616.50/x
  3. Step 3: Cross multiply
    6,448.36x = 8,899.48 × 3,616.50
  4. Step 4: Simplify right side
    6,448.36x = 32,184,969.42
  5. Step 5: Solve for x
    x = 32,184,969.42/6,448.36
  6. Step 6: Final answer
    x = 4,991.19

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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.