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Finding the Fourth Proportional to 3,346.45, 4,638.13 and 3,284.21

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Solution

The fourth proportional to 3,346.45, 4,638.13 and 3,284.21 is: 4,551.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,346.45 : 4,638.13 = 3,284.21 : x
  2. Step 2: Convert to fraction form
    3,346.45/4,638.13 = 3,284.21/x
  3. Step 3: Cross multiply
    3,346.45x = 4,638.13 × 3,284.21
  4. Step 4: Simplify right side
    3,346.45x = 15,232,596.31
  5. Step 5: Solve for x
    x = 15,232,596.31/3,346.45
  6. Step 6: Final answer
    x = 4,551.87

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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.