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Finding the Fourth Proportional to 4,486.16, 6,725.92 and 2,176

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Solution

The fourth proportional to 4,486.16, 6,725.92 and 2,176 is: 3,262.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486.16 : 6,725.92 = 2,176 : x
  2. Step 2: Convert to fraction form
    4,486.16/6,725.92 = 2,176/x
  3. Step 3: Cross multiply
    4,486.16x = 6,725.92 × 2,176
  4. Step 4: Simplify right side
    4,486.16x = 14,635,601.92
  5. Step 5: Solve for x
    x = 14,635,601.92/4,486.16
  6. Step 6: Final answer
    x = 3,262.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.