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Finding the Fourth Proportional to 4,770.87, 6,583.17 and 2,646.30

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Solution

The fourth proportional to 4,770.87, 6,583.17 and 2,646.30 is: 3,651.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.87 : 6,583.17 = 2,646.30 : x
  2. Step 2: Convert to fraction form
    4,770.87/6,583.17 = 2,646.30/x
  3. Step 3: Cross multiply
    4,770.87x = 6,583.17 × 2,646.30
  4. Step 4: Simplify right side
    4,770.87x = 17,421,042.77
  5. Step 5: Solve for x
    x = 17,421,042.77/4,770.87
  6. Step 6: Final answer
    x = 3,651.54

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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.