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Finding the Fourth Proportional to 6,288.84, 8,678.60 and 3,456.44

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Solution

The fourth proportional to 6,288.84, 8,678.60 and 3,456.44 is: 4,769.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,288.84 : 8,678.60 = 3,456.44 : x
  2. Step 2: Convert to fraction form
    6,288.84/8,678.60 = 3,456.44/x
  3. Step 3: Cross multiply
    6,288.84x = 8,678.60 × 3,456.44
  4. Step 4: Simplify right side
    6,288.84x = 29,997,060.18
  5. Step 5: Solve for x
    x = 29,997,060.18/6,288.84
  6. Step 6: Final answer
    x = 4,769.89

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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.