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Finding the Fourth Proportional to 4,526, 6,791.56 and 2,094

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Solution

The fourth proportional to 4,526, 6,791.56 and 2,094 is: 3,142.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,526 : 6,791.56 = 2,094 : x
  2. Step 2: Convert to fraction form
    4,526/6,791.56 = 2,094/x
  3. Step 3: Cross multiply
    4,526x = 6,791.56 × 2,094
  4. Step 4: Simplify right side
    4,526x = 14,221,526.64
  5. Step 5: Solve for x
    x = 14,221,526.64/4,526
  6. Step 6: Final answer
    x = 3,142.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.