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Finding the Fourth Proportional to 4,213.65, 6,308.00 and 3,122.91

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Solution

The fourth proportional to 4,213.65, 6,308.00 and 3,122.91 is: 4,675.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,213.65 : 6,308.00 = 3,122.91 : x
  2. Step 2: Convert to fraction form
    4,213.65/6,308.00 = 3,122.91/x
  3. Step 3: Cross multiply
    4,213.65x = 6,308.00 × 3,122.91
  4. Step 4: Simplify right side
    4,213.65x = 19,699,300.67
  5. Step 5: Solve for x
    x = 19,699,300.67/4,213.65
  6. Step 6: Final answer
    x = 4,675.12

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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.