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Finding the Fourth Proportional to 5,414.65, 8,113.77 and 4,021.47

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Solution

The fourth proportional to 5,414.65, 8,113.77 and 4,021.47 is: 6,026.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.65 : 8,113.77 = 4,021.47 : x
  2. Step 2: Convert to fraction form
    5,414.65/8,113.77 = 4,021.47/x
  3. Step 3: Cross multiply
    5,414.65x = 8,113.77 × 4,021.47
  4. Step 4: Simplify right side
    5,414.65x = 32,629,282.64
  5. Step 5: Solve for x
    x = 32,629,282.64/5,414.65
  6. Step 6: Final answer
    x = 6,026.11

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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.