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Finding the Fourth Proportional to 5,806.63, 8,014.17 and 3,288.88

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Solution

The fourth proportional to 5,806.63, 8,014.17 and 3,288.88 is: 4,539.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.63 : 8,014.17 = 3,288.88 : x
  2. Step 2: Convert to fraction form
    5,806.63/8,014.17 = 3,288.88/x
  3. Step 3: Cross multiply
    5,806.63x = 8,014.17 × 3,288.88
  4. Step 4: Simplify right side
    5,806.63x = 26,357,643.43
  5. Step 5: Solve for x
    x = 26,357,643.43/5,806.63
  6. Step 6: Final answer
    x = 4,539.23

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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.