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Finding the Fourth Proportional to 4,213.65, 6,318.64 and 2,134.65

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Solution

The fourth proportional to 4,213.65, 6,318.64 and 2,134.65 is: 3,201.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,213.65 : 6,318.64 = 2,134.65 : x
  2. Step 2: Convert to fraction form
    4,213.65/6,318.64 = 2,134.65/x
  3. Step 3: Cross multiply
    4,213.65x = 6,318.64 × 2,134.65
  4. Step 4: Simplify right side
    4,213.65x = 13,488,111.24
  5. Step 5: Solve for x
    x = 13,488,111.24/4,213.65
  6. Step 6: Final answer
    x = 3,201.05

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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.