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Finding the Fourth Proportional to 5,478.15, 8,214.80 and 3,398.07

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Solution

The fourth proportional to 5,478.15, 8,214.80 and 3,398.07 is: 5,095.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.15 : 8,214.80 = 3,398.07 : x
  2. Step 2: Convert to fraction form
    5,478.15/8,214.80 = 3,398.07/x
  3. Step 3: Cross multiply
    5,478.15x = 8,214.80 × 3,398.07
  4. Step 4: Simplify right side
    5,478.15x = 27,914,465.44
  5. Step 5: Solve for x
    x = 27,914,465.44/5,478.15
  6. Step 6: Final answer
    x = 5,095.60

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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.