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Finding the Fourth Proportional to 5,806.27, 8,709 and 2,521.72

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Solution

The fourth proportional to 5,806.27, 8,709 and 2,521.72 is: 3,782.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.27 : 8,709 = 2,521.72 : x
  2. Step 2: Convert to fraction form
    5,806.27/8,709 = 2,521.72/x
  3. Step 3: Cross multiply
    5,806.27x = 8,709 × 2,521.72
  4. Step 4: Simplify right side
    5,806.27x = 21,961,659.48
  5. Step 5: Solve for x
    x = 21,961,659.48/5,806.27
  6. Step 6: Final answer
    x = 3,782.40

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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.