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Finding the Fourth Proportional to 3,212.84, 4,433.87 and 2,513

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Solution

The fourth proportional to 3,212.84, 4,433.87 and 2,513 is: 3,468.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.84 : 4,433.87 = 2,513 : x
  2. Step 2: Convert to fraction form
    3,212.84/4,433.87 = 2,513/x
  3. Step 3: Cross multiply
    3,212.84x = 4,433.87 × 2,513
  4. Step 4: Simplify right side
    3,212.84x = 11,142,302.75
  5. Step 5: Solve for x
    x = 11,142,302.75/3,212.84
  6. Step 6: Final answer
    x = 3,468.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.