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Finding the Fourth Proportional to 3,535.42, 5,277.26 and 3,278.42

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Solution

The fourth proportional to 3,535.42, 5,277.26 and 3,278.42 is: 4,893.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.42 : 5,277.26 = 3,278.42 : x
  2. Step 2: Convert to fraction form
    3,535.42/5,277.26 = 3,278.42/x
  3. Step 3: Cross multiply
    3,535.42x = 5,277.26 × 3,278.42
  4. Step 4: Simplify right side
    3,535.42x = 17,301,074.73
  5. Step 5: Solve for x
    x = 17,301,074.73/3,535.42
  6. Step 6: Final answer
    x = 4,893.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.