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Finding the Fourth Proportional to 3,284.96, 4,539.18 and 2,497.64

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Solution

The fourth proportional to 3,284.96, 4,539.18 and 2,497.64 is: 3,451.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.96 : 4,539.18 = 2,497.64 : x
  2. Step 2: Convert to fraction form
    3,284.96/4,539.18 = 2,497.64/x
  3. Step 3: Cross multiply
    3,284.96x = 4,539.18 × 2,497.64
  4. Step 4: Simplify right side
    3,284.96x = 11,337,237.54
  5. Step 5: Solve for x
    x = 11,337,237.54/3,284.96
  6. Step 6: Final answer
    x = 3,451.26

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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.