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Finding the Fourth Proportional to 3,423.11, 4,723.86 and 1,930.95

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Solution

The fourth proportional to 3,423.11, 4,723.86 and 1,930.95 is: 2,664.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.11 : 4,723.86 = 1,930.95 : x
  2. Step 2: Convert to fraction form
    3,423.11/4,723.86 = 1,930.95/x
  3. Step 3: Cross multiply
    3,423.11x = 4,723.86 × 1,930.95
  4. Step 4: Simplify right side
    3,423.11x = 9,121,537.47
  5. Step 5: Solve for x
    x = 9,121,537.47/3,423.11
  6. Step 6: Final answer
    x = 2,664.69

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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.