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Finding the Fourth Proportional to 4,506.82, 6,755.06 and 1,732.06

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Solution

The fourth proportional to 4,506.82, 6,755.06 and 1,732.06 is: 2,596.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,506.82 : 6,755.06 = 1,732.06 : x
  2. Step 2: Convert to fraction form
    4,506.82/6,755.06 = 1,732.06/x
  3. Step 3: Cross multiply
    4,506.82x = 6,755.06 × 1,732.06
  4. Step 4: Simplify right side
    4,506.82x = 11,700,182.00
  5. Step 5: Solve for x
    x = 11,700,182.00/4,506.82
  6. Step 6: Final answer
    x = 2,596.11

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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.