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Finding the Fourth Proportional to 5,930.64, 8,896.77 and 2,034

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Solution

The fourth proportional to 5,930.64, 8,896.77 and 2,034 is: 3,051.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930.64 : 8,896.77 = 2,034 : x
  2. Step 2: Convert to fraction form
    5,930.64/8,896.77 = 2,034/x
  3. Step 3: Cross multiply
    5,930.64x = 8,896.77 × 2,034
  4. Step 4: Simplify right side
    5,930.64x = 18,096,030.18
  5. Step 5: Solve for x
    x = 18,096,030.18/5,930.64
  6. Step 6: Final answer
    x = 3,051.28

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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.