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Finding the Fourth Proportional to 7,349.56, 11,025.94 and 2,419

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Solution

The fourth proportional to 7,349.56, 11,025.94 and 2,419 is: 3,629.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,349.56 : 11,025.94 = 2,419 : x
  2. Step 2: Convert to fraction form
    7,349.56/11,025.94 = 2,419/x
  3. Step 3: Cross multiply
    7,349.56x = 11,025.94 × 2,419
  4. Step 4: Simplify right side
    7,349.56x = 26,671,748.86
  5. Step 5: Solve for x
    x = 26,671,748.86/7,349.56
  6. Step 6: Final answer
    x = 3,629.03

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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.