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Finding the Fourth Proportional to 4,562.82, 6,838.74 and 2,094.24

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Solution

The fourth proportional to 4,562.82, 6,838.74 and 2,094.24 is: 3,138.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.82 : 6,838.74 = 2,094.24 : x
  2. Step 2: Convert to fraction form
    4,562.82/6,838.74 = 2,094.24/x
  3. Step 3: Cross multiply
    4,562.82x = 6,838.74 × 2,094.24
  4. Step 4: Simplify right side
    4,562.82x = 14,321,962.86
  5. Step 5: Solve for x
    x = 14,321,962.86/4,562.82
  6. Step 6: Final answer
    x = 3,138.84

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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.