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Finding the Fourth Proportional to 3,444.12, 4,757.94 and 2,977.56

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Solution

The fourth proportional to 3,444.12, 4,757.94 and 2,977.56 is: 4,113.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444.12 : 4,757.94 = 2,977.56 : x
  2. Step 2: Convert to fraction form
    3,444.12/4,757.94 = 2,977.56/x
  3. Step 3: Cross multiply
    3,444.12x = 4,757.94 × 2,977.56
  4. Step 4: Simplify right side
    3,444.12x = 14,167,051.83
  5. Step 5: Solve for x
    x = 14,167,051.83/3,444.12
  6. Step 6: Final answer
    x = 4,113.40

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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.