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Finding the Fourth Proportional to 5,324.94, 7,988.49 and 1,864.62

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Solution

The fourth proportional to 5,324.94, 7,988.49 and 1,864.62 is: 2,797.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,324.94 : 7,988.49 = 1,864.62 : x
  2. Step 2: Convert to fraction form
    5,324.94/7,988.49 = 1,864.62/x
  3. Step 3: Cross multiply
    5,324.94x = 7,988.49 × 1,864.62
  4. Step 4: Simplify right side
    5,324.94x = 14,895,498.22
  5. Step 5: Solve for x
    x = 14,895,498.22/5,324.94
  6. Step 6: Final answer
    x = 2,797.31

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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.