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Finding the Fourth Proportional to 3,851.58, 5,776.65 and 1,511.49

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Solution

The fourth proportional to 3,851.58, 5,776.65 and 1,511.49 is: 2,266.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.58 : 5,776.65 = 1,511.49 : x
  2. Step 2: Convert to fraction form
    3,851.58/5,776.65 = 1,511.49/x
  3. Step 3: Cross multiply
    3,851.58x = 5,776.65 × 1,511.49
  4. Step 4: Simplify right side
    3,851.58x = 8,731,348.71
  5. Step 5: Solve for x
    x = 8,731,348.71/3,851.58
  6. Step 6: Final answer
    x = 2,266.95

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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.