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Finding the Fourth Proportional to 4,224.69, 6,339.13 and 3,191.00

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Solution

The fourth proportional to 4,224.69, 6,339.13 and 3,191.00 is: 4,788.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,224.69 : 6,339.13 = 3,191.00 : x
  2. Step 2: Convert to fraction form
    4,224.69/6,339.13 = 3,191.00/x
  3. Step 3: Cross multiply
    4,224.69x = 6,339.13 × 3,191.00
  4. Step 4: Simplify right side
    4,224.69x = 20,228,124.16
  5. Step 5: Solve for x
    x = 20,228,124.16/4,224.69
  6. Step 6: Final answer
    x = 4,788.07

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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.