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Finding the Fourth Proportional to 3,460.39, 5,186.39 and 2,458.17

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Solution

The fourth proportional to 3,460.39, 5,186.39 and 2,458.17 is: 3,684.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.39 : 5,186.39 = 2,458.17 : x
  2. Step 2: Convert to fraction form
    3,460.39/5,186.39 = 2,458.17/x
  3. Step 3: Cross multiply
    3,460.39x = 5,186.39 × 2,458.17
  4. Step 4: Simplify right side
    3,460.39x = 12,749,016.02
  5. Step 5: Solve for x
    x = 12,749,016.02/3,460.39
  6. Step 6: Final answer
    x = 3,684.27

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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.