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Finding the Fourth Proportional to 3,242.84, 4,505.14 and 3,212.48

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Solution

The fourth proportional to 3,242.84, 4,505.14 and 3,212.48 is: 4,462.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242.84 : 4,505.14 = 3,212.48 : x
  2. Step 2: Convert to fraction form
    3,242.84/4,505.14 = 3,212.48/x
  3. Step 3: Cross multiply
    3,242.84x = 4,505.14 × 3,212.48
  4. Step 4: Simplify right side
    3,242.84x = 14,472,672.15
  5. Step 5: Solve for x
    x = 14,472,672.15/3,242.84
  6. Step 6: Final answer
    x = 4,462.96

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.