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Finding the Fourth Proportional to 5,340.29, 8,010.20 and 1,830.62

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Solution

The fourth proportional to 5,340.29, 8,010.20 and 1,830.62 is: 2,745.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,340.29 : 8,010.20 = 1,830.62 : x
  2. Step 2: Convert to fraction form
    5,340.29/8,010.20 = 1,830.62/x
  3. Step 3: Cross multiply
    5,340.29x = 8,010.20 × 1,830.62
  4. Step 4: Simplify right side
    5,340.29x = 14,663,596.85
  5. Step 5: Solve for x
    x = 14,663,596.85/5,340.29
  6. Step 6: Final answer
    x = 2,745.84

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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.