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Finding the Fourth Proportional to 5,783.72, 8,680.50 and 2,276.19

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Solution

The fourth proportional to 5,783.72, 8,680.50 and 2,276.19 is: 3,416.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.72 : 8,680.50 = 2,276.19 : x
  2. Step 2: Convert to fraction form
    5,783.72/8,680.50 = 2,276.19/x
  3. Step 3: Cross multiply
    5,783.72x = 8,680.50 × 2,276.19
  4. Step 4: Simplify right side
    5,783.72x = 19,758,467.30
  5. Step 5: Solve for x
    x = 19,758,467.30/5,783.72
  6. Step 6: Final answer
    x = 3,416.22

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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.