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Finding the Fourth Proportional to 4,882.54, 7,302.21 and 4,338.22

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Solution

The fourth proportional to 4,882.54, 7,302.21 and 4,338.22 is: 6,488.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,882.54 : 7,302.21 = 4,338.22 : x
  2. Step 2: Convert to fraction form
    4,882.54/7,302.21 = 4,338.22/x
  3. Step 3: Cross multiply
    4,882.54x = 7,302.21 × 4,338.22
  4. Step 4: Simplify right side
    4,882.54x = 31,678,593.47
  5. Step 5: Solve for x
    x = 31,678,593.47/4,882.54
  6. Step 6: Final answer
    x = 6,488.14

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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.