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Finding the Fourth Proportional to 4,770.89, 6,583.83 and 2,907.89

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Solution

The fourth proportional to 4,770.89, 6,583.83 and 2,907.89 is: 4,012.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.89 : 6,583.83 = 2,907.89 : x
  2. Step 2: Convert to fraction form
    4,770.89/6,583.83 = 2,907.89/x
  3. Step 3: Cross multiply
    4,770.89x = 6,583.83 × 2,907.89
  4. Step 4: Simplify right side
    4,770.89x = 19,145,062.99
  5. Step 5: Solve for x
    x = 19,145,062.99/4,770.89
  6. Step 6: Final answer
    x = 4,012.89

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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.