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Finding the Fourth Proportional to 3,239.71, 4,470.69 and 1,823.47

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Solution

The fourth proportional to 3,239.71, 4,470.69 and 1,823.47 is: 2,516.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,239.71 : 4,470.69 = 1,823.47 : x
  2. Step 2: Convert to fraction form
    3,239.71/4,470.69 = 1,823.47/x
  3. Step 3: Cross multiply
    3,239.71x = 4,470.69 × 1,823.47
  4. Step 4: Simplify right side
    3,239.71x = 8,152,169.09
  5. Step 5: Solve for x
    x = 8,152,169.09/3,239.71
  6. Step 6: Final answer
    x = 2,516.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.