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Finding the Fourth Proportional to 3,782.12, 5,671.37 and 1,316.63

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Solution

The fourth proportional to 3,782.12, 5,671.37 and 1,316.63 is: 1,974.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.12 : 5,671.37 = 1,316.63 : x
  2. Step 2: Convert to fraction form
    3,782.12/5,671.37 = 1,316.63/x
  3. Step 3: Cross multiply
    3,782.12x = 5,671.37 × 1,316.63
  4. Step 4: Simplify right side
    3,782.12x = 7,467,113.35
  5. Step 5: Solve for x
    x = 7,467,113.35/3,782.12
  6. Step 6: Final answer
    x = 1,974.32

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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.