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Finding the Fourth Proportional to 5,678.64, 8,521.20 and 3,081.78

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Solution

The fourth proportional to 5,678.64, 8,521.20 and 3,081.78 is: 4,624.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.64 : 8,521.20 = 3,081.78 : x
  2. Step 2: Convert to fraction form
    5,678.64/8,521.20 = 3,081.78/x
  3. Step 3: Cross multiply
    5,678.64x = 8,521.20 × 3,081.78
  4. Step 4: Simplify right side
    5,678.64x = 26,260,463.74
  5. Step 5: Solve for x
    x = 26,260,463.74/5,678.64
  6. Step 6: Final answer
    x = 4,624.43

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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.