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Finding the Fourth Proportional to 4,236.65, 6,349.65 and 2,157.17

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Solution

The fourth proportional to 4,236.65, 6,349.65 and 2,157.17 is: 3,233.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,236.65 : 6,349.65 = 2,157.17 : x
  2. Step 2: Convert to fraction form
    4,236.65/6,349.65 = 2,157.17/x
  3. Step 3: Cross multiply
    4,236.65x = 6,349.65 × 2,157.17
  4. Step 4: Simplify right side
    4,236.65x = 13,697,274.49
  5. Step 5: Solve for x
    x = 13,697,274.49/4,236.65
  6. Step 6: Final answer
    x = 3,233.04

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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.