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Finding the Fourth Proportional to 6,484.35, 8,949.24 and 3,965.97

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Solution

The fourth proportional to 6,484.35, 8,949.24 and 3,965.97 is: 5,473.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.35 : 8,949.24 = 3,965.97 : x
  2. Step 2: Convert to fraction form
    6,484.35/8,949.24 = 3,965.97/x
  3. Step 3: Cross multiply
    6,484.35x = 8,949.24 × 3,965.97
  4. Step 4: Simplify right side
    6,484.35x = 35,492,417.36
  5. Step 5: Solve for x
    x = 35,492,417.36/6,484.35
  6. Step 6: Final answer
    x = 5,473.55

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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.