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Finding the Fourth Proportional to 5,685.80, 8,528.70 and 3,093.80

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Solution

The fourth proportional to 5,685.80, 8,528.70 and 3,093.80 is: 4,640.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685.80 : 8,528.70 = 3,093.80 : x
  2. Step 2: Convert to fraction form
    5,685.80/8,528.70 = 3,093.80/x
  3. Step 3: Cross multiply
    5,685.80x = 8,528.70 × 3,093.80
  4. Step 4: Simplify right side
    5,685.80x = 26,386,092.06
  5. Step 5: Solve for x
    x = 26,386,092.06/5,685.80
  6. Step 6: Final answer
    x = 4,640.70

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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.