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Finding the Fourth Proportional to 3,393.60, 5,087.04 and 1,340.16

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Solution

The fourth proportional to 3,393.60, 5,087.04 and 1,340.16 is: 2,008.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,393.60 : 5,087.04 = 1,340.16 : x
  2. Step 2: Convert to fraction form
    3,393.60/5,087.04 = 1,340.16/x
  3. Step 3: Cross multiply
    3,393.60x = 5,087.04 × 1,340.16
  4. Step 4: Simplify right side
    3,393.60x = 6,817,447.53
  5. Step 5: Solve for x
    x = 6,817,447.53/3,393.60
  6. Step 6: Final answer
    x = 2,008.91

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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.