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Finding the Fourth Proportional to 5,235.46, 7,853.19 and 1,772.44

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Solution

The fourth proportional to 5,235.46, 7,853.19 and 1,772.44 is: 2,658.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.46 : 7,853.19 = 1,772.44 : x
  2. Step 2: Convert to fraction form
    5,235.46/7,853.19 = 1,772.44/x
  3. Step 3: Cross multiply
    5,235.46x = 7,853.19 × 1,772.44
  4. Step 4: Simplify right side
    5,235.46x = 13,919,281.80
  5. Step 5: Solve for x
    x = 13,919,281.80/5,235.46
  6. Step 6: Final answer
    x = 2,658.66

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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.