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Finding the Fourth Proportional to 5,155.08, 7,732.54 and 2,077

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Solution

The fourth proportional to 5,155.08, 7,732.54 and 2,077 is: 3,115.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,155.08 : 7,732.54 = 2,077 : x
  2. Step 2: Convert to fraction form
    5,155.08/7,732.54 = 2,077/x
  3. Step 3: Cross multiply
    5,155.08x = 7,732.54 × 2,077
  4. Step 4: Simplify right side
    5,155.08x = 16,060,485.58
  5. Step 5: Solve for x
    x = 16,060,485.58/5,155.08
  6. Step 6: Final answer
    x = 3,115.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.