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Finding the Fourth Proportional to 3,493.42, 5,240.46 and 1,304.02

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Solution

The fourth proportional to 3,493.42, 5,240.46 and 1,304.02 is: 1,956.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.42 : 5,240.46 = 1,304.02 : x
  2. Step 2: Convert to fraction form
    3,493.42/5,240.46 = 1,304.02/x
  3. Step 3: Cross multiply
    3,493.42x = 5,240.46 × 1,304.02
  4. Step 4: Simplify right side
    3,493.42x = 6,833,664.65
  5. Step 5: Solve for x
    x = 6,833,664.65/3,493.42
  6. Step 6: Final answer
    x = 1,956.15

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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.