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Finding the Fourth Proportional to 5,646.06, 8,469.48 and 1,486.17

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Solution

The fourth proportional to 5,646.06, 8,469.48 and 1,486.17 is: 2,229.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.06 : 8,469.48 = 1,486.17 : x
  2. Step 2: Convert to fraction form
    5,646.06/8,469.48 = 1,486.17/x
  3. Step 3: Cross multiply
    5,646.06x = 8,469.48 × 1,486.17
  4. Step 4: Simplify right side
    5,646.06x = 12,587,087.09
  5. Step 5: Solve for x
    x = 12,587,087.09/5,646.06
  6. Step 6: Final answer
    x = 2,229.36

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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.