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Finding the Fourth Proportional to 4,208.57, 6,298.22 and 3,459.18

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Solution

The fourth proportional to 4,208.57, 6,298.22 and 3,459.18 is: 5,176.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,208.57 : 6,298.22 = 3,459.18 : x
  2. Step 2: Convert to fraction form
    4,208.57/6,298.22 = 3,459.18/x
  3. Step 3: Cross multiply
    4,208.57x = 6,298.22 × 3,459.18
  4. Step 4: Simplify right side
    4,208.57x = 21,786,676.62
  5. Step 5: Solve for x
    x = 21,786,676.62/4,208.57
  6. Step 6: Final answer
    x = 5,176.74

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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.