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Finding the Fourth Proportional to 3,211.74, 4,820.07 and 2,588.55

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Solution

The fourth proportional to 3,211.74, 4,820.07 and 2,588.55 is: 3,884.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.74 : 4,820.07 = 2,588.55 : x
  2. Step 2: Convert to fraction form
    3,211.74/4,820.07 = 2,588.55/x
  3. Step 3: Cross multiply
    3,211.74x = 4,820.07 × 2,588.55
  4. Step 4: Simplify right side
    3,211.74x = 12,476,992.20
  5. Step 5: Solve for x
    x = 12,476,992.20/3,211.74
  6. Step 6: Final answer
    x = 3,884.81

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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.