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Finding the Fourth Proportional to 5,410.64, 8,095.80 and 4,172.24

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Solution

The fourth proportional to 5,410.64, 8,095.80 and 4,172.24 is: 6,242.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.64 : 8,095.80 = 4,172.24 : x
  2. Step 2: Convert to fraction form
    5,410.64/8,095.80 = 4,172.24/x
  3. Step 3: Cross multiply
    5,410.64x = 8,095.80 × 4,172.24
  4. Step 4: Simplify right side
    5,410.64x = 33,777,620.59
  5. Step 5: Solve for x
    x = 33,777,620.59/5,410.64
  6. Step 6: Final answer
    x = 6,242.81

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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.