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Finding the Fourth Proportional to 4,322.97, 6,485.49 and 1,511.42

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Solution

The fourth proportional to 4,322.97, 6,485.49 and 1,511.42 is: 2,267.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.97 : 6,485.49 = 1,511.42 : x
  2. Step 2: Convert to fraction form
    4,322.97/6,485.49 = 1,511.42/x
  3. Step 3: Cross multiply
    4,322.97x = 6,485.49 × 1,511.42
  4. Step 4: Simplify right side
    4,322.97x = 9,802,266.87
  5. Step 5: Solve for x
    x = 9,802,266.87/4,322.97
  6. Step 6: Final answer
    x = 2,267.48

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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.