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Finding the Fourth Proportional to 6,458.09, 9,689.49 and 3,990.08

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Solution

The fourth proportional to 6,458.09, 9,689.49 and 3,990.08 is: 5,986.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.09 : 9,689.49 = 3,990.08 : x
  2. Step 2: Convert to fraction form
    6,458.09/9,689.49 = 3,990.08/x
  3. Step 3: Cross multiply
    6,458.09x = 9,689.49 × 3,990.08
  4. Step 4: Simplify right side
    6,458.09x = 38,661,840.26
  5. Step 5: Solve for x
    x = 38,661,840.26/6,458.09
  6. Step 6: Final answer
    x = 5,986.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.