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Finding the Fourth Proportional to 3,589.56, 4,953.83 and 2,077.43

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Solution

The fourth proportional to 3,589.56, 4,953.83 and 2,077.43 is: 2,866.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.56 : 4,953.83 = 2,077.43 : x
  2. Step 2: Convert to fraction form
    3,589.56/4,953.83 = 2,077.43/x
  3. Step 3: Cross multiply
    3,589.56x = 4,953.83 × 2,077.43
  4. Step 4: Simplify right side
    3,589.56x = 10,291,199.90
  5. Step 5: Solve for x
    x = 10,291,199.90/3,589.56
  6. Step 6: Final answer
    x = 2,866.98

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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.