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Finding the Fourth Proportional to 5,986, 8,260.84 and 3,333.52

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Solution

The fourth proportional to 5,986, 8,260.84 and 3,333.52 is: 4,600.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986 : 8,260.84 = 3,333.52 : x
  2. Step 2: Convert to fraction form
    5,986/8,260.84 = 3,333.52/x
  3. Step 3: Cross multiply
    5,986x = 8,260.84 × 3,333.52
  4. Step 4: Simplify right side
    5,986x = 27,537,675.36
  5. Step 5: Solve for x
    x = 27,537,675.36/5,986
  6. Step 6: Final answer
    x = 4,600.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.