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Finding the Fourth Proportional to 4,562.42, 6,851.42 and 2,724.93

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Solution

The fourth proportional to 4,562.42, 6,851.42 and 2,724.93 is: 4,092.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.42 : 6,851.42 = 2,724.93 : x
  2. Step 2: Convert to fraction form
    4,562.42/6,851.42 = 2,724.93/x
  3. Step 3: Cross multiply
    4,562.42x = 6,851.42 × 2,724.93
  4. Step 4: Simplify right side
    4,562.42x = 18,669,626.28
  5. Step 5: Solve for x
    x = 18,669,626.28/4,562.42
  6. Step 6: Final answer
    x = 4,092.05

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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.