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Finding the Fourth Proportional to 5,152.86, 7,729.20 and 1,257.30

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Solution

The fourth proportional to 5,152.86, 7,729.20 and 1,257.30 is: 1,885.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.86 : 7,729.20 = 1,257.30 : x
  2. Step 2: Convert to fraction form
    5,152.86/7,729.20 = 1,257.30/x
  3. Step 3: Cross multiply
    5,152.86x = 7,729.20 × 1,257.30
  4. Step 4: Simplify right side
    5,152.86x = 9,717,923.16
  5. Step 5: Solve for x
    x = 9,717,923.16/5,152.86
  6. Step 6: Final answer
    x = 1,885.93

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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.