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Finding the Fourth Proportional to 5,419.64, 7,475.49 and 3,845

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Solution

The fourth proportional to 5,419.64, 7,475.49 and 3,845 is: 5,303.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,419.64 : 7,475.49 = 3,845 : x
  2. Step 2: Convert to fraction form
    5,419.64/7,475.49 = 3,845/x
  3. Step 3: Cross multiply
    5,419.64x = 7,475.49 × 3,845
  4. Step 4: Simplify right side
    5,419.64x = 28,743,259.05
  5. Step 5: Solve for x
    x = 28,743,259.05/5,419.64
  6. Step 6: Final answer
    x = 5,303.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.