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Finding the Fourth Proportional to 3,776.24, 5,668.07 and 2,478.62

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Solution

The fourth proportional to 3,776.24, 5,668.07 and 2,478.62 is: 3,720.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.24 : 5,668.07 = 2,478.62 : x
  2. Step 2: Convert to fraction form
    3,776.24/5,668.07 = 2,478.62/x
  3. Step 3: Cross multiply
    3,776.24x = 5,668.07 × 2,478.62
  4. Step 4: Simplify right side
    3,776.24x = 14,048,950.93
  5. Step 5: Solve for x
    x = 14,048,950.93/3,776.24
  6. Step 6: Final answer
    x = 3,720.36

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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.