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Finding the Fourth Proportional to 3,497.71, 5,244.94 and 1,304.86

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Solution

The fourth proportional to 3,497.71, 5,244.94 and 1,304.86 is: 1,956.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.71 : 5,244.94 = 1,304.86 : x
  2. Step 2: Convert to fraction form
    3,497.71/5,244.94 = 1,304.86/x
  3. Step 3: Cross multiply
    3,497.71x = 5,244.94 × 1,304.86
  4. Step 4: Simplify right side
    3,497.71x = 6,843,912.41
  5. Step 5: Solve for x
    x = 6,843,912.41/3,497.71
  6. Step 6: Final answer
    x = 1,956.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.