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Finding the Fourth Proportional to 3,265.84, 4,896.20 and 1,185.52

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Solution

The fourth proportional to 3,265.84, 4,896.20 and 1,185.52 is: 1,777.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,265.84 : 4,896.20 = 1,185.52 : x
  2. Step 2: Convert to fraction form
    3,265.84/4,896.20 = 1,185.52/x
  3. Step 3: Cross multiply
    3,265.84x = 4,896.20 × 1,185.52
  4. Step 4: Simplify right side
    3,265.84x = 5,804,543.02
  5. Step 5: Solve for x
    x = 5,804,543.02/3,265.84
  6. Step 6: Final answer
    x = 1,777.35

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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.