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Finding the Fourth Proportional to 3,882.36, 5,345.98 and 3,477.80

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Solution

The fourth proportional to 3,882.36, 5,345.98 and 3,477.80 is: 4,788.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.36 : 5,345.98 = 3,477.80 : x
  2. Step 2: Convert to fraction form
    3,882.36/5,345.98 = 3,477.80/x
  3. Step 3: Cross multiply
    3,882.36x = 5,345.98 × 3,477.80
  4. Step 4: Simplify right side
    3,882.36x = 18,592,249.24
  5. Step 5: Solve for x
    x = 18,592,249.24/3,882.36
  6. Step 6: Final answer
    x = 4,788.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.