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Finding the Fourth Proportional to 5,001.94, 7,504.46 and 1,882.22

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Solution

The fourth proportional to 5,001.94, 7,504.46 and 1,882.22 is: 2,823.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,001.94 : 7,504.46 = 1,882.22 : x
  2. Step 2: Convert to fraction form
    5,001.94/7,504.46 = 1,882.22/x
  3. Step 3: Cross multiply
    5,001.94x = 7,504.46 × 1,882.22
  4. Step 4: Simplify right side
    5,001.94x = 14,125,044.70
  5. Step 5: Solve for x
    x = 14,125,044.70/5,001.94
  6. Step 6: Final answer
    x = 2,823.91

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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.