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Finding the Fourth Proportional to 4,385.56, 6,579.12 and 2,077

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Solution

The fourth proportional to 4,385.56, 6,579.12 and 2,077 is: 3,115.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,385.56 : 6,579.12 = 2,077 : x
  2. Step 2: Convert to fraction form
    4,385.56/6,579.12 = 2,077/x
  3. Step 3: Cross multiply
    4,385.56x = 6,579.12 × 2,077
  4. Step 4: Simplify right side
    4,385.56x = 13,664,832.24
  5. Step 5: Solve for x
    x = 13,664,832.24/4,385.56
  6. Step 6: Final answer
    x = 3,115.87

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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.