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Finding the Fourth Proportional to 3,506.22, 5,262.57 and 1,776.06

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Solution

The fourth proportional to 3,506.22, 5,262.57 and 1,776.06 is: 2,665.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.22 : 5,262.57 = 1,776.06 : x
  2. Step 2: Convert to fraction form
    3,506.22/5,262.57 = 1,776.06/x
  3. Step 3: Cross multiply
    3,506.22x = 5,262.57 × 1,776.06
  4. Step 4: Simplify right side
    3,506.22x = 9,346,640.07
  5. Step 5: Solve for x
    x = 9,346,640.07/3,506.22
  6. Step 6: Final answer
    x = 2,665.73

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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.