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Finding the Fourth Proportional to 3,494.64, 5,244.14 and 1,304.91

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Solution

The fourth proportional to 3,494.64, 5,244.14 and 1,304.91 is: 1,958.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.64 : 5,244.14 = 1,304.91 : x
  2. Step 2: Convert to fraction form
    3,494.64/5,244.14 = 1,304.91/x
  3. Step 3: Cross multiply
    3,494.64x = 5,244.14 × 1,304.91
  4. Step 4: Simplify right side
    3,494.64x = 6,843,133.99
  5. Step 5: Solve for x
    x = 6,843,133.99/3,494.64
  6. Step 6: Final answer
    x = 1,958.18

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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.