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Finding the Fourth Proportional to 5,266.64, 7,269.32 and 3,278.80

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Solution

The fourth proportional to 5,266.64, 7,269.32 and 3,278.80 is: 4,525.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.64 : 7,269.32 = 3,278.80 : x
  2. Step 2: Convert to fraction form
    5,266.64/7,269.32 = 3,278.80/x
  3. Step 3: Cross multiply
    5,266.64x = 7,269.32 × 3,278.80
  4. Step 4: Simplify right side
    5,266.64x = 23,834,646.42
  5. Step 5: Solve for x
    x = 23,834,646.42/5,266.64
  6. Step 6: Final answer
    x = 4,525.59

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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.