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Finding the Fourth Proportional to 4,242.72, 6,366.16 and 3,209.04

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Solution

The fourth proportional to 4,242.72, 6,366.16 and 3,209.04 is: 4,815.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.72 : 6,366.16 = 3,209.04 : x
  2. Step 2: Convert to fraction form
    4,242.72/6,366.16 = 3,209.04/x
  3. Step 3: Cross multiply
    4,242.72x = 6,366.16 × 3,209.04
  4. Step 4: Simplify right side
    4,242.72x = 20,429,262.09
  5. Step 5: Solve for x
    x = 20,429,262.09/4,242.72
  6. Step 6: Final answer
    x = 4,815.13

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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.