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Finding the Fourth Proportional to 5,728.80, 8,590.37 and 1,832.70

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Solution

The fourth proportional to 5,728.80, 8,590.37 and 1,832.70 is: 2,748.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.80 : 8,590.37 = 1,832.70 : x
  2. Step 2: Convert to fraction form
    5,728.80/8,590.37 = 1,832.70/x
  3. Step 3: Cross multiply
    5,728.80x = 8,590.37 × 1,832.70
  4. Step 4: Simplify right side
    5,728.80x = 15,743,561.94
  5. Step 5: Solve for x
    x = 15,743,561.94/5,728.80
  6. Step 6: Final answer
    x = 2,748.14

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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.