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Finding the Fourth Proportional to 5,888.70, 8,128.08 and 4,120.74

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Solution

The fourth proportional to 5,888.70, 8,128.08 and 4,120.74 is: 5,687.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,888.70 : 8,128.08 = 4,120.74 : x
  2. Step 2: Convert to fraction form
    5,888.70/8,128.08 = 4,120.74/x
  3. Step 3: Cross multiply
    5,888.70x = 8,128.08 × 4,120.74
  4. Step 4: Simplify right side
    5,888.70x = 33,493,704.38
  5. Step 5: Solve for x
    x = 33,493,704.38/5,888.70
  6. Step 6: Final answer
    x = 5,687.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.