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Finding the Fourth Proportional to 4,872.42, 6,724.17 and 2,776.50

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Solution

The fourth proportional to 4,872.42, 6,724.17 and 2,776.50 is: 3,831.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.42 : 6,724.17 = 2,776.50 : x
  2. Step 2: Convert to fraction form
    4,872.42/6,724.17 = 2,776.50/x
  3. Step 3: Cross multiply
    4,872.42x = 6,724.17 × 2,776.50
  4. Step 4: Simplify right side
    4,872.42x = 18,669,658.01
  5. Step 5: Solve for x
    x = 18,669,658.01/4,872.42
  6. Step 6: Final answer
    x = 3,831.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.