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Finding the Fourth Proportional to 6,288.68, 8,678.55 and 3,456.13

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Solution

The fourth proportional to 6,288.68, 8,678.55 and 3,456.13 is: 4,769.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,288.68 : 8,678.55 = 3,456.13 : x
  2. Step 2: Convert to fraction form
    6,288.68/8,678.55 = 3,456.13/x
  3. Step 3: Cross multiply
    6,288.68x = 8,678.55 × 3,456.13
  4. Step 4: Simplify right side
    6,288.68x = 29,994,197.01
  5. Step 5: Solve for x
    x = 29,994,197.01/6,288.68
  6. Step 6: Final answer
    x = 4,769.55

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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.