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Finding the Fourth Proportional to 5,678.92, 8,519.19 and 1,783.63

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Solution

The fourth proportional to 5,678.92, 8,519.19 and 1,783.63 is: 2,675.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.92 : 8,519.19 = 1,783.63 : x
  2. Step 2: Convert to fraction form
    5,678.92/8,519.19 = 1,783.63/x
  3. Step 3: Cross multiply
    5,678.92x = 8,519.19 × 1,783.63
  4. Step 4: Simplify right side
    5,678.92x = 15,195,031.35
  5. Step 5: Solve for x
    x = 15,195,031.35/5,678.92
  6. Step 6: Final answer
    x = 2,675.69

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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.