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Finding the Fourth Proportional to 3,589.68, 5,390 and 2,977.32

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Solution

The fourth proportional to 3,589.68, 5,390 and 2,977.32 is: 4,470.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.68 : 5,390 = 2,977.32 : x
  2. Step 2: Convert to fraction form
    3,589.68/5,390 = 2,977.32/x
  3. Step 3: Cross multiply
    3,589.68x = 5,390 × 2,977.32
  4. Step 4: Simplify right side
    3,589.68x = 16,047,754.80
  5. Step 5: Solve for x
    x = 16,047,754.80/3,589.68
  6. Step 6: Final answer
    x = 4,470.53

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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.