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Finding the Fourth Proportional to 5,400.96, 8,095.68 and 2,280.32

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Solution

The fourth proportional to 5,400.96, 8,095.68 and 2,280.32 is: 3,418.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,400.96 : 8,095.68 = 2,280.32 : x
  2. Step 2: Convert to fraction form
    5,400.96/8,095.68 = 2,280.32/x
  3. Step 3: Cross multiply
    5,400.96x = 8,095.68 × 2,280.32
  4. Step 4: Simplify right side
    5,400.96x = 18,460,741.02
  5. Step 5: Solve for x
    x = 18,460,741.02/5,400.96
  6. Step 6: Final answer
    x = 3,418.05

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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.