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Finding the Fourth Proportional to 4,390.86, 6,578.34 and 2,414.34

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Solution

The fourth proportional to 4,390.86, 6,578.34 and 2,414.34 is: 3,617.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,390.86 : 6,578.34 = 2,414.34 : x
  2. Step 2: Convert to fraction form
    4,390.86/6,578.34 = 2,414.34/x
  3. Step 3: Cross multiply
    4,390.86x = 6,578.34 × 2,414.34
  4. Step 4: Simplify right side
    4,390.86x = 15,882,349.40
  5. Step 5: Solve for x
    x = 15,882,349.40/4,390.86
  6. Step 6: Final answer
    x = 3,617.14

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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.