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Finding the Fourth Proportional to 3,928.51, 5,892.81 and 1,007.11

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Solution

The fourth proportional to 3,928.51, 5,892.81 and 1,007.11 is: 1,510.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,928.51 : 5,892.81 = 1,007.11 : x
  2. Step 2: Convert to fraction form
    3,928.51/5,892.81 = 1,007.11/x
  3. Step 3: Cross multiply
    3,928.51x = 5,892.81 × 1,007.11
  4. Step 4: Simplify right side
    3,928.51x = 5,934,707.88
  5. Step 5: Solve for x
    x = 5,934,707.88/3,928.51
  6. Step 6: Final answer
    x = 1,510.68

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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.