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Finding the Fourth Proportional to 5,438.80, 8,160.24 and 5,405.99

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Solution

The fourth proportional to 5,438.80, 8,160.24 and 5,405.99 is: 8,111.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438.80 : 8,160.24 = 5,405.99 : x
  2. Step 2: Convert to fraction form
    5,438.80/8,160.24 = 5,405.99/x
  3. Step 3: Cross multiply
    5,438.80x = 8,160.24 × 5,405.99
  4. Step 4: Simplify right side
    5,438.80x = 44,114,201.21
  5. Step 5: Solve for x
    x = 44,114,201.21/5,438.80
  6. Step 6: Final answer
    x = 8,111.02

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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.