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Finding the Fourth Proportional to 3,478.86, 5,214.51 and 1,628.82

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Solution

The fourth proportional to 3,478.86, 5,214.51 and 1,628.82 is: 2,441.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.86 : 5,214.51 = 1,628.82 : x
  2. Step 2: Convert to fraction form
    3,478.86/5,214.51 = 1,628.82/x
  3. Step 3: Cross multiply
    3,478.86x = 5,214.51 × 1,628.82
  4. Step 4: Simplify right side
    3,478.86x = 8,493,498.18
  5. Step 5: Solve for x
    x = 8,493,498.18/3,478.86
  6. Step 6: Final answer
    x = 2,441.46

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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.