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Finding the Fourth Proportional to 5,090.96, 7,628.88 and 4,172.96

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Solution

The fourth proportional to 5,090.96, 7,628.88 and 4,172.96 is: 6,253.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,090.96 : 7,628.88 = 4,172.96 : x
  2. Step 2: Convert to fraction form
    5,090.96/7,628.88 = 4,172.96/x
  3. Step 3: Cross multiply
    5,090.96x = 7,628.88 × 4,172.96
  4. Step 4: Simplify right side
    5,090.96x = 31,835,011.08
  5. Step 5: Solve for x
    x = 31,835,011.08/5,090.96
  6. Step 6: Final answer
    x = 6,253.24

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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.