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Finding the Fourth Proportional to 5,072.24, 7,607.64 and 2,150.48

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Solution

The fourth proportional to 5,072.24, 7,607.64 and 2,150.48 is: 3,225.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.24 : 7,607.64 = 2,150.48 : x
  2. Step 2: Convert to fraction form
    5,072.24/7,607.64 = 2,150.48/x
  3. Step 3: Cross multiply
    5,072.24x = 7,607.64 × 2,150.48
  4. Step 4: Simplify right side
    5,072.24x = 16,360,077.67
  5. Step 5: Solve for x
    x = 16,360,077.67/5,072.24
  6. Step 6: Final answer
    x = 3,225.41

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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.