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Finding the Fourth Proportional to 3,005.88, 4,147.44 and 2,157.81

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Solution

The fourth proportional to 3,005.88, 4,147.44 and 2,157.81 is: 2,977.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.88 : 4,147.44 = 2,157.81 : x
  2. Step 2: Convert to fraction form
    3,005.88/4,147.44 = 2,157.81/x
  3. Step 3: Cross multiply
    3,005.88x = 4,147.44 × 2,157.81
  4. Step 4: Simplify right side
    3,005.88x = 8,949,363.86
  5. Step 5: Solve for x
    x = 8,949,363.86/3,005.88
  6. Step 6: Final answer
    x = 2,977.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.