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Finding the Fourth Proportional to 3,156.72, 4,354.56 and 1,977.56

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Solution

The fourth proportional to 3,156.72, 4,354.56 and 1,977.56 is: 2,727.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.72 : 4,354.56 = 1,977.56 : x
  2. Step 2: Convert to fraction form
    3,156.72/4,354.56 = 1,977.56/x
  3. Step 3: Cross multiply
    3,156.72x = 4,354.56 × 1,977.56
  4. Step 4: Simplify right side
    3,156.72x = 8,611,403.67
  5. Step 5: Solve for x
    x = 8,611,403.67/3,156.72
  6. Step 6: Final answer
    x = 2,727.96

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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.