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Finding the Fourth Proportional to 4,902.19, 6,763.52 and 2,777.38

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Solution

The fourth proportional to 4,902.19, 6,763.52 and 2,777.38 is: 3,831.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.19 : 6,763.52 = 2,777.38 : x
  2. Step 2: Convert to fraction form
    4,902.19/6,763.52 = 2,777.38/x
  3. Step 3: Cross multiply
    4,902.19x = 6,763.52 × 2,777.38
  4. Step 4: Simplify right side
    4,902.19x = 18,784,855.21
  5. Step 5: Solve for x
    x = 18,784,855.21/4,902.19
  6. Step 6: Final answer
    x = 3,831.93

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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.