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Finding the Fourth Proportional to 5,398.96, 8,083.30 and 4,078.55

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Solution

The fourth proportional to 5,398.96, 8,083.30 and 4,078.55 is: 6,106.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.96 : 8,083.30 = 4,078.55 : x
  2. Step 2: Convert to fraction form
    5,398.96/8,083.30 = 4,078.55/x
  3. Step 3: Cross multiply
    5,398.96x = 8,083.30 × 4,078.55
  4. Step 4: Simplify right side
    5,398.96x = 32,968,143.22
  5. Step 5: Solve for x
    x = 32,968,143.22/5,398.96
  6. Step 6: Final answer
    x = 6,106.39

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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.