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Finding the Fourth Proportional to 3,297.68, 4,548.64 and 2,116.88

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Solution

The fourth proportional to 3,297.68, 4,548.64 and 2,116.88 is: 2,919.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.68 : 4,548.64 = 2,116.88 : x
  2. Step 2: Convert to fraction form
    3,297.68/4,548.64 = 2,116.88/x
  3. Step 3: Cross multiply
    3,297.68x = 4,548.64 × 2,116.88
  4. Step 4: Simplify right side
    3,297.68x = 9,628,925.04
  5. Step 5: Solve for x
    x = 9,628,925.04/3,297.68
  6. Step 6: Final answer
    x = 2,919.91

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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.