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Finding the Fourth Proportional to 5,806.78, 8,013.27 and 3,254.50

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Solution

The fourth proportional to 5,806.78, 8,013.27 and 3,254.50 is: 4,491.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.78 : 8,013.27 = 3,254.50 : x
  2. Step 2: Convert to fraction form
    5,806.78/8,013.27 = 3,254.50/x
  3. Step 3: Cross multiply
    5,806.78x = 8,013.27 × 3,254.50
  4. Step 4: Simplify right side
    5,806.78x = 26,079,187.22
  5. Step 5: Solve for x
    x = 26,079,187.22/5,806.78
  6. Step 6: Final answer
    x = 4,491.16

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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.