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Finding the Fourth Proportional to 4,527.32, 6,793.81 and 1,930.25

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Solution

The fourth proportional to 4,527.32, 6,793.81 and 1,930.25 is: 2,896.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,527.32 : 6,793.81 = 1,930.25 : x
  2. Step 2: Convert to fraction form
    4,527.32/6,793.81 = 1,930.25/x
  3. Step 3: Cross multiply
    4,527.32x = 6,793.81 × 1,930.25
  4. Step 4: Simplify right side
    4,527.32x = 13,113,763.91
  5. Step 5: Solve for x
    x = 13,113,763.91/4,527.32
  6. Step 6: Final answer
    x = 2,896.59

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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.