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Finding the Fourth Proportional to 3,977.76, 5,967.50 and 1,512.62

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Solution

The fourth proportional to 3,977.76, 5,967.50 and 1,512.62 is: 2,269.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.76 : 5,967.50 = 1,512.62 : x
  2. Step 2: Convert to fraction form
    3,977.76/5,967.50 = 1,512.62/x
  3. Step 3: Cross multiply
    3,977.76x = 5,967.50 × 1,512.62
  4. Step 4: Simplify right side
    3,977.76x = 9,026,567.21
  5. Step 5: Solve for x
    x = 9,026,567.21/3,977.76
  6. Step 6: Final answer
    x = 2,269.26

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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.