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Finding the Fourth Proportional to 5,479.53, 8,219.74 and 1,781.67

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Solution

The fourth proportional to 5,479.53, 8,219.74 and 1,781.67 is: 2,672.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,479.53 : 8,219.74 = 1,781.67 : x
  2. Step 2: Convert to fraction form
    5,479.53/8,219.74 = 1,781.67/x
  3. Step 3: Cross multiply
    5,479.53x = 8,219.74 × 1,781.67
  4. Step 4: Simplify right side
    5,479.53x = 14,644,864.17
  5. Step 5: Solve for x
    x = 14,644,864.17/5,479.53
  6. Step 6: Final answer
    x = 2,672.65

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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.