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Finding the Fourth Proportional to 5,200.13, 7,800.30 and 1,304.44

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Solution

The fourth proportional to 5,200.13, 7,800.30 and 1,304.44 is: 1,956.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.13 : 7,800.30 = 1,304.44 : x
  2. Step 2: Convert to fraction form
    5,200.13/7,800.30 = 1,304.44/x
  3. Step 3: Cross multiply
    5,200.13x = 7,800.30 × 1,304.44
  4. Step 4: Simplify right side
    5,200.13x = 10,175,003.83
  5. Step 5: Solve for x
    x = 10,175,003.83/5,200.13
  6. Step 6: Final answer
    x = 1,956.68

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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.