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Finding the Fourth Proportional to 3,927.55, 5,890.92 and 1,330.42

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Solution

The fourth proportional to 3,927.55, 5,890.92 and 1,330.42 is: 1,995.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.55 : 5,890.92 = 1,330.42 : x
  2. Step 2: Convert to fraction form
    3,927.55/5,890.92 = 1,330.42/x
  3. Step 3: Cross multiply
    3,927.55x = 5,890.92 × 1,330.42
  4. Step 4: Simplify right side
    3,927.55x = 7,837,397.79
  5. Step 5: Solve for x
    x = 7,837,397.79/3,927.55
  6. Step 6: Final answer
    x = 1,995.49

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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.