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Finding the Fourth Proportional to 3,437.64, 5,167.26 and 3,264.84

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Solution

The fourth proportional to 3,437.64, 5,167.26 and 3,264.84 is: 4,907.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.64 : 5,167.26 = 3,264.84 : x
  2. Step 2: Convert to fraction form
    3,437.64/5,167.26 = 3,264.84/x
  3. Step 3: Cross multiply
    3,437.64x = 5,167.26 × 3,264.84
  4. Step 4: Simplify right side
    3,437.64x = 16,870,277.14
  5. Step 5: Solve for x
    x = 16,870,277.14/3,437.64
  6. Step 6: Final answer
    x = 4,907.52

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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.