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Finding the Fourth Proportional to 3,928.74, 5,893.20 and 1,007.07

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Solution

The fourth proportional to 3,928.74, 5,893.20 and 1,007.07 is: 1,510.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,928.74 : 5,893.20 = 1,007.07 : x
  2. Step 2: Convert to fraction form
    3,928.74/5,893.20 = 1,007.07/x
  3. Step 3: Cross multiply
    3,928.74x = 5,893.20 × 1,007.07
  4. Step 4: Simplify right side
    3,928.74x = 5,934,864.92
  5. Step 5: Solve for x
    x = 5,934,864.92/3,928.74
  6. Step 6: Final answer
    x = 1,510.63

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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.