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Finding the Fourth Proportional to 6,502.08, 8,972.84 and 3,669.44

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Solution

The fourth proportional to 6,502.08, 8,972.84 and 3,669.44 is: 5,063.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.08 : 8,972.84 = 3,669.44 : x
  2. Step 2: Convert to fraction form
    6,502.08/8,972.84 = 3,669.44/x
  3. Step 3: Cross multiply
    6,502.08x = 8,972.84 × 3,669.44
  4. Step 4: Simplify right side
    6,502.08x = 32,925,298.01
  5. Step 5: Solve for x
    x = 32,925,298.01/6,502.08
  6. Step 6: Final answer
    x = 5,063.81

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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.