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Finding the Fourth Proportional to 3,700.17, 5,094.72 and 3,138.84

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Solution

The fourth proportional to 3,700.17, 5,094.72 and 3,138.84 is: 4,321.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.17 : 5,094.72 = 3,138.84 : x
  2. Step 2: Convert to fraction form
    3,700.17/5,094.72 = 3,138.84/x
  3. Step 3: Cross multiply
    3,700.17x = 5,094.72 × 3,138.84
  4. Step 4: Simplify right side
    3,700.17x = 15,991,510.92
  5. Step 5: Solve for x
    x = 15,991,510.92/3,700.17
  6. Step 6: Final answer
    x = 4,321.83

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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.