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Finding the Fourth Proportional to 3,175.48, 4,764 and 2,564.72

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Solution

The fourth proportional to 3,175.48, 4,764 and 2,564.72 is: 3,847.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.48 : 4,764 = 2,564.72 : x
  2. Step 2: Convert to fraction form
    3,175.48/4,764 = 2,564.72/x
  3. Step 3: Cross multiply
    3,175.48x = 4,764 × 2,564.72
  4. Step 4: Simplify right side
    3,175.48x = 12,218,326.08
  5. Step 5: Solve for x
    x = 12,218,326.08/3,175.48
  6. Step 6: Final answer
    x = 3,847.71

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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.