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Finding the Fourth Proportional to 4,927.27, 7,393.71 and 1,806.86

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Solution

The fourth proportional to 4,927.27, 7,393.71 and 1,806.86 is: 2,711.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,927.27 : 7,393.71 = 1,806.86 : x
  2. Step 2: Convert to fraction form
    4,927.27/7,393.71 = 1,806.86/x
  3. Step 3: Cross multiply
    4,927.27x = 7,393.71 × 1,806.86
  4. Step 4: Simplify right side
    4,927.27x = 13,359,398.85
  5. Step 5: Solve for x
    x = 13,359,398.85/4,927.27
  6. Step 6: Final answer
    x = 2,711.32

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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.