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Finding the Fourth Proportional to 3,782.34, 5,685.66 and 3,511.80

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Solution

The fourth proportional to 3,782.34, 5,685.66 and 3,511.80 is: 5,278.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.34 : 5,685.66 = 3,511.80 : x
  2. Step 2: Convert to fraction form
    3,782.34/5,685.66 = 3,511.80/x
  3. Step 3: Cross multiply
    3,782.34x = 5,685.66 × 3,511.80
  4. Step 4: Simplify right side
    3,782.34x = 19,966,900.79
  5. Step 5: Solve for x
    x = 19,966,900.79/3,782.34
  6. Step 6: Final answer
    x = 5,278.98

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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.