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Finding the Fourth Proportional to 4,900.38, 6,762.87 and 2,804.70

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Solution

The fourth proportional to 4,900.38, 6,762.87 and 2,804.70 is: 3,870.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.38 : 6,762.87 = 2,804.70 : x
  2. Step 2: Convert to fraction form
    4,900.38/6,762.87 = 2,804.70/x
  3. Step 3: Cross multiply
    4,900.38x = 6,762.87 × 2,804.70
  4. Step 4: Simplify right side
    4,900.38x = 18,967,821.49
  5. Step 5: Solve for x
    x = 18,967,821.49/4,900.38
  6. Step 6: Final answer
    x = 3,870.68

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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.