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Finding the Fourth Proportional to 6,051.57, 9,072.75 and 3,128.01

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Solution

The fourth proportional to 6,051.57, 9,072.75 and 3,128.01 is: 4,689.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,051.57 : 9,072.75 = 3,128.01 : x
  2. Step 2: Convert to fraction form
    6,051.57/9,072.75 = 3,128.01/x
  3. Step 3: Cross multiply
    6,051.57x = 9,072.75 × 3,128.01
  4. Step 4: Simplify right side
    6,051.57x = 28,379,652.73
  5. Step 5: Solve for x
    x = 28,379,652.73/6,051.57
  6. Step 6: Final answer
    x = 4,689.63

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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.