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Finding the Fourth Proportional to 4,930.67, 6,804.02 and 2,692.10

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Solution

The fourth proportional to 4,930.67, 6,804.02 and 2,692.10 is: 3,714.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,930.67 : 6,804.02 = 2,692.10 : x
  2. Step 2: Convert to fraction form
    4,930.67/6,804.02 = 2,692.10/x
  3. Step 3: Cross multiply
    4,930.67x = 6,804.02 × 2,692.10
  4. Step 4: Simplify right side
    4,930.67x = 18,317,125.98
  5. Step 5: Solve for x
    x = 18,317,125.98/4,930.67
  6. Step 6: Final answer
    x = 3,714.93

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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.