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Finding the Fourth Proportional to 3,776.00, 5,213.57 and 3,030.66

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Solution

The fourth proportional to 3,776.00, 5,213.57 and 3,030.66 is: 4,184.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.00 : 5,213.57 = 3,030.66 : x
  2. Step 2: Convert to fraction form
    3,776.00/5,213.57 = 3,030.66/x
  3. Step 3: Cross multiply
    3,776.00x = 5,213.57 × 3,030.66
  4. Step 4: Simplify right side
    3,776.00x = 15,800,542.90
  5. Step 5: Solve for x
    x = 15,800,542.90/3,776.00
  6. Step 6: Final answer
    x = 4,184.47

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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.