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Finding the Fourth Proportional to 4,923.27, 7,384.77 and 1,591.51

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Solution

The fourth proportional to 4,923.27, 7,384.77 and 1,591.51 is: 2,387.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,923.27 : 7,384.77 = 1,591.51 : x
  2. Step 2: Convert to fraction form
    4,923.27/7,384.77 = 1,591.51/x
  3. Step 3: Cross multiply
    4,923.27x = 7,384.77 × 1,591.51
  4. Step 4: Simplify right side
    4,923.27x = 11,752,935.30
  5. Step 5: Solve for x
    x = 11,752,935.30/4,923.27
  6. Step 6: Final answer
    x = 2,387.22

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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.