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Finding the Fourth Proportional to 5,052.70, 7,579.02 and 1,304.47

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Solution

The fourth proportional to 5,052.70, 7,579.02 and 1,304.47 is: 1,956.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052.70 : 7,579.02 = 1,304.47 : x
  2. Step 2: Convert to fraction form
    5,052.70/7,579.02 = 1,304.47/x
  3. Step 3: Cross multiply
    5,052.70x = 7,579.02 × 1,304.47
  4. Step 4: Simplify right side
    5,052.70x = 9,886,611.25
  5. Step 5: Solve for x
    x = 9,886,611.25/5,052.70
  6. Step 6: Final answer
    x = 1,956.70

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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.