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Finding the Fourth Proportional to 3,259.96, 4,497.06 and 2,078.92

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Solution

The fourth proportional to 3,259.96, 4,497.06 and 2,078.92 is: 2,867.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,259.96 : 4,497.06 = 2,078.92 : x
  2. Step 2: Convert to fraction form
    3,259.96/4,497.06 = 2,078.92/x
  3. Step 3: Cross multiply
    3,259.96x = 4,497.06 × 2,078.92
  4. Step 4: Simplify right side
    3,259.96x = 9,349,027.98
  5. Step 5: Solve for x
    x = 9,349,027.98/3,259.96
  6. Step 6: Final answer
    x = 2,867.84

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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.