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Finding the Fourth Proportional to 3,765.76, 5,649.41 and 1,300.25

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Solution

The fourth proportional to 3,765.76, 5,649.41 and 1,300.25 is: 1,950.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.76 : 5,649.41 = 1,300.25 : x
  2. Step 2: Convert to fraction form
    3,765.76/5,649.41 = 1,300.25/x
  3. Step 3: Cross multiply
    3,765.76x = 5,649.41 × 1,300.25
  4. Step 4: Simplify right side
    3,765.76x = 7,345,662.73
  5. Step 5: Solve for x
    x = 7,345,662.73/3,765.76
  6. Step 6: Final answer
    x = 1,950.65

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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.