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Finding the Fourth Proportional to 4,348.80, 6,491.69 and 3,823.33

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Solution

The fourth proportional to 4,348.80, 6,491.69 and 3,823.33 is: 5,707.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,348.80 : 6,491.69 = 3,823.33 : x
  2. Step 2: Convert to fraction form
    4,348.80/6,491.69 = 3,823.33/x
  3. Step 3: Cross multiply
    4,348.80x = 6,491.69 × 3,823.33
  4. Step 4: Simplify right side
    4,348.80x = 24,819,873.13
  5. Step 5: Solve for x
    x = 24,819,873.13/4,348.80
  6. Step 6: Final answer
    x = 5,707.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.