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Finding the Fourth Proportional to 3,494.60, 4,824.16 and 2,169.09

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Solution

The fourth proportional to 3,494.60, 4,824.16 and 2,169.09 is: 2,994.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.60 : 4,824.16 = 2,169.09 : x
  2. Step 2: Convert to fraction form
    3,494.60/4,824.16 = 2,169.09/x
  3. Step 3: Cross multiply
    3,494.60x = 4,824.16 × 2,169.09
  4. Step 4: Simplify right side
    3,494.60x = 10,464,018.22
  5. Step 5: Solve for x
    x = 10,464,018.22/3,494.60
  6. Step 6: Final answer
    x = 2,994.34

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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.