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Finding the Fourth Proportional to 5,952.36, 8,930.46 and 2,056.80

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Solution

The fourth proportional to 5,952.36, 8,930.46 and 2,056.80 is: 3,085.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.36 : 8,930.46 = 2,056.80 : x
  2. Step 2: Convert to fraction form
    5,952.36/8,930.46 = 2,056.80/x
  3. Step 3: Cross multiply
    5,952.36x = 8,930.46 × 2,056.80
  4. Step 4: Simplify right side
    5,952.36x = 18,368,170.13
  5. Step 5: Solve for x
    x = 18,368,170.13/5,952.36
  6. Step 6: Final answer
    x = 3,085.86

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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.