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Finding the Fourth Proportional to 5,200.66, 7,176.49 and 3,076.06

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Solution

The fourth proportional to 5,200.66, 7,176.49 and 3,076.06 is: 4,244.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.66 : 7,176.49 = 3,076.06 : x
  2. Step 2: Convert to fraction form
    5,200.66/7,176.49 = 3,076.06/x
  3. Step 3: Cross multiply
    5,200.66x = 7,176.49 × 3,076.06
  4. Step 4: Simplify right side
    5,200.66x = 22,075,313.83
  5. Step 5: Solve for x
    x = 22,075,313.83/5,200.66
  6. Step 6: Final answer
    x = 4,244.71

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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.