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Finding the Fourth Proportional to 4,527.38, 6,794.10 and 1,930.92

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Solution

The fourth proportional to 4,527.38, 6,794.10 and 1,930.92 is: 2,897.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,527.38 : 6,794.10 = 1,930.92 : x
  2. Step 2: Convert to fraction form
    4,527.38/6,794.10 = 1,930.92/x
  3. Step 3: Cross multiply
    4,527.38x = 6,794.10 × 1,930.92
  4. Step 4: Simplify right side
    4,527.38x = 13,118,863.57
  5. Step 5: Solve for x
    x = 13,118,863.57/4,527.38
  6. Step 6: Final answer
    x = 2,897.68

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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.