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Finding the Fourth Proportional to 3,977.89, 5,967.12 and 1,056.13

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Solution

The fourth proportional to 3,977.89, 5,967.12 and 1,056.13 is: 1,584.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.89 : 5,967.12 = 1,056.13 : x
  2. Step 2: Convert to fraction form
    3,977.89/5,967.12 = 1,056.13/x
  3. Step 3: Cross multiply
    3,977.89x = 5,967.12 × 1,056.13
  4. Step 4: Simplify right side
    3,977.89x = 6,302,054.45
  5. Step 5: Solve for x
    x = 6,302,054.45/3,977.89
  6. Step 6: Final answer
    x = 1,584.27

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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.