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Finding the Fourth Proportional to 5,678.73, 8,518.09 and 1,783.44

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Solution

The fourth proportional to 5,678.73, 8,518.09 and 1,783.44 is: 2,675.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.73 : 8,518.09 = 1,783.44 : x
  2. Step 2: Convert to fraction form
    5,678.73/8,518.09 = 1,783.44/x
  3. Step 3: Cross multiply
    5,678.73x = 8,518.09 × 1,783.44
  4. Step 4: Simplify right side
    5,678.73x = 15,191,502.43
  5. Step 5: Solve for x
    x = 15,191,502.43/5,678.73
  6. Step 6: Final answer
    x = 2,675.16

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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.