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Finding the Fourth Proportional to 5,806.14, 8,008.59 and 3,891.99

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Solution

The fourth proportional to 5,806.14, 8,008.59 and 3,891.99 is: 5,368.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.14 : 8,008.59 = 3,891.99 : x
  2. Step 2: Convert to fraction form
    5,806.14/8,008.59 = 3,891.99/x
  3. Step 3: Cross multiply
    5,806.14x = 8,008.59 × 3,891.99
  4. Step 4: Simplify right side
    5,806.14x = 31,169,352.19
  5. Step 5: Solve for x
    x = 31,169,352.19/5,806.14
  6. Step 6: Final answer
    x = 5,368.34

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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.